62575968 has 288 divisors, whose sum is σ = 221356800. Its totient is φ = 15095808.

The previous prime is 62575967. The next prime is 62575973. The reversal of 62575968 is 86957526.

It is a happy number.

It is a super-2 number, since 2×62575968² = 7831503542274048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62575967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2157778 + ... + 2157806.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 2^62575968 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 62575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

62575968 is an abundant number, since it is smaller than the sum of its proper divisors (158780832).

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

62575968 is a wasteful number, since it uses less digits than its factorization.

62575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 62575968 is about 7910.4973294983. The cubic root of 62575968 is about 397.0109868012.

The spelling of 62575968 in words is "sixty-two million, five hundred seventy-five thousand, nine hundred sixty-eight".