60000 has 60 divisors (see below), whose sum is σ = 196812. Its totient is φ = 16000.

The previous prime is 59999. The next prime is 60013. The reversal of 60000 is 6.

60000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10 and base 16.

It is a zygodrome in base 7.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 50 × 30 × 40.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11998 + ... + 12002.

2^{60000} is an apocalyptic number.

60000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98406).

60000 is an abundant number, since it is smaller than the sum of its proper divisors (136812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60000 is an equidigital number, since it uses as much as digits as its factorization.

60000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 60000 is about 244.9489742783. The cubic root of 60000 is about 39.1486764117.

The spelling of 60000 in words is "sixty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000

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