97629760 has 28 divisors (see below), whose sum is σ = 232481628. Its totient is φ = 39051776.

The previous prime is 97629751. The next prime is 97629767. The reversal of 97629760 is 6792679.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 86713344 = 3304^2 + 9312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97629760.

It is not an unprimeable number, because it can be changed into a prime (97629767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152227 + ... + 152866.

Almost surely, 2^97629760 is an apocalyptic number.

It is an amenable number.

97629760 is an abundant number, since it is smaller than the sum of its proper divisors (134851868).

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

97629760 is a wasteful number, since it uses less digits than its factorization.

97629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305110 (or 305100 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 97629760 is about 9880.7772973587. Note that the first 3 decimals coincide. The cubic root of 97629760 is about 460.4622951670.

It can be divided in two parts, 97629 and 760, that added together give a palindrome (98389).

The spelling of 97629760 in words is "ninety-seven million, six hundred twenty-nine thousand, seven hundred sixty".