62760960 has 192 divisors, whose sum is σ = 224078400. Its totient is φ = 16662528.

The previous prime is 62760953. The next prime is 62760961. The reversal of 62760960 is 6906726.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (62760961) 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 15 ways as a sum of consecutive naturals, for example, 276367 + ... + 276593.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^62760960 is an apocalyptic number.

62760960 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 62760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

62760960 is an abundant number, since it is smaller than the sum of its proper divisors (161317440).

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

62760960 is a wasteful number, since it uses less digits than its factorization.

62760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 62760960 is about 7922.1815177387. The cubic root of 62760960 is about 397.4018269482.

The spelling of 62760960 in words is "sixty-two million, seven hundred sixty thousand, nine hundred sixty".