62668032 has 72 divisors (see below), whose sum is σ = 190631616. Its totient is φ = 17903616.

The previous prime is 62668027. The next prime is 62668037. The reversal of 62668032 is 23086626.

It is an interprime number because it is at equal distance from previous prime (62668027) and next prime (62668037).

It is a junction number, because it is equal to n+sod(n) for n = 62667984 and 62668002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62668037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 11204.

Almost surely, 2^62668032 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 62668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95315808).

62668032 is an abundant number, since it is smaller than the sum of its proper divisors (127963584).

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

62668032 is a wasteful number, since it uses less digits than its factorization.

62668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 62668032 is about 7916.3142939123. The cubic root of 62668032 is about 397.2055903129.

The spelling of 62668032 in words is "sixty-two million, six hundred sixty-eight thousand, thirty-two".