62868960 has 504 divisors, whose sum is σ = 282597336. Its totient is φ = 13063680.

The previous prime is 62868943. The next prime is 62868989. The reversal of 62868960 is 6986826.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×62868960² = 7905012262963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715355 + ... + 5715365.

It is an arithmetic number, because the mean of its divisors is an integer number (560709).

Almost surely, 2^62868960 is an apocalyptic number.

62868960 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 62868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298668).

62868960 is an abundant number, since it is smaller than the sum of its proper divisors (219728376).

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

62868960 is a wasteful number, since it uses less digits than its factorization.

62868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 62868960 is about 7928.9948921663. The cubic root of 62868960 is about 397.6296479909.

The spelling of 62868960 in words is "sixty-two million, eight hundred sixty-eight thousand, nine hundred sixty".