97264128 has 80 divisors (see below), whose sum is σ = 279107136. Its totient is φ = 29921280.

The previous prime is 97264117. The next prime is 97264129. The reversal of 97264128 is 82146279.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (97264129) 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, 17533 + ... + 22403.

Almost surely, 2^97264128 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 97264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139553568).

97264128 is an abundant number, since it is smaller than the sum of its proper divisors (181843008).

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

97264128 is a wasteful number, since it uses less digits than its factorization.

97264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4889 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 97264128 is about 9862.2577536789. The cubic root of 97264128 is about 459.8867522099.

The spelling of 97264128 in words is "ninety-seven million, two hundred sixty-four thousand, one hundred twenty-eight".