60827520 has 128 divisors (see below), whose sum is σ = 208887840. Its totient is φ = 14966784.

The previous prime is 60827509. The next prime is 60827521. The reversal of 60827520 is 2572806.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60827521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 26178.

Almost surely, 2^60827520 is an apocalyptic number.

60827520 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 60827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104443920).

60827520 is an abundant number, since it is smaller than the sum of its proper divisors (148060320).

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

60827520 is a wasteful number, since it uses less digits than its factorization.

60827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 60827520 is about 7799.1999589702. The cubic root of 60827520 is about 393.2783478310.

The spelling of 60827520 in words is "sixty million, eight hundred twenty-seven thousand, five hundred twenty".