97640928 has 432 divisors, whose sum is σ = 383174064. Its totient is φ = 23224320.

The previous prime is 97640923. The next prime is 97640947. The reversal of 97640928 is 82904679.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97640923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2638926 + ... + 2638962.

It is an arithmetic number, because the mean of its divisors is an integer number (886977).

Almost surely, 2^97640928 is an apocalyptic number.

97640928 is a gapful number since it is divisible by the number (98) 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 97640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587032).

97640928 is an abundant number, since it is smaller than the sum of its proper divisors (285533136).

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

97640928 is a wasteful number, since it uses less digits than its factorization.

97640928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97640928 is about 9881.3424189226. The cubic root of 97640928 is about 460.4798521320.

The spelling of 97640928 in words is "ninety-seven million, six hundred forty thousand, nine hundred twenty-eight".