97532064 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 27532800.

The previous prime is 97532059. The next prime is 97532117. The reversal of 97532064 is 46023579.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203377 + ... + 203855.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^97532064 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 97532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

97532064 is an abundant number, since it is smaller than the sum of its proper divisors (223253856).

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

97532064 is a wasteful number, since it uses less digits than its factorization.

97532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97532064 is about 9875.8323193542. The cubic root of 97532064 is about 460.3086523364.

The spelling of 97532064 in words is "ninety-seven million, five hundred thirty-two thousand, sixty-four".