60001300 has 36 divisors (see below), whose sum is σ = 132671196. Its totient is φ = 23545600.

The previous prime is 60001283. The next prime is 60001307. The reversal of 60001300 is 310006.

It can be written as a sum of positive squares in 6 ways, for example, as 4588164 + 55413136 = 2142^2 + 7444^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60001307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361 + ... + 10960.

It is an arithmetic number, because the mean of its divisors is an integer number (3685311).

Almost surely, 2^60001300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66335598).

60001300 is an abundant number, since it is smaller than the sum of its proper divisors (72669896).

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

60001300 is a wasteful number, since it uses less digits than its factorization.

60001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 60001300 is about 7746.0506065995. The cubic root of 60001300 is about 391.4895915009.

Adding to 60001300 its reverse (310006), we get a palindrome (60311306).

The spelling of 60001300 in words is "sixty million, one thousand, three hundred".