97128064 has 64 divisors (see below), whose sum is σ = 213490080. Its totient is φ = 43648000.

The previous prime is 97128007. The next prime is 97128107. The reversal of 97128064 is 46082179.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141867 + ... + 142549.

Almost surely, 2^97128064 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 97128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745040).

97128064 is an abundant number, since it is smaller than the sum of its proper divisors (116362016).

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

97128064 is a wasteful number, since it uses less digits than its factorization.

97128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 97128064 is about 9855.3571218906. The cubic root of 97128064 is about 459.6722050329.

The spelling of 97128064 in words is "ninety-seven million, one hundred twenty-eight thousand, sixty-four".