97824064 has 28 divisors (see below), whose sum is σ = 209053684. Its totient is φ = 45149184.

The previous prime is 97824059. The next prime is 97824107. The reversal of 97824064 is 46042879.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 39942400 = 7608^2 + 6320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57957 + ... + 59620.

It is an arithmetic number, because the mean of its divisors is an integer number (7466203).

Almost surely, 2^97824064 is an apocalyptic number.

It is an amenable number.

97824064 is an abundant number, since it is smaller than the sum of its proper divisors (111229620).

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

97824064 is a wasteful number, since it uses less digits than its factorization.

97824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117602 (or 117592 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 97824064 is about 9890.6048348926. The cubic root of 97824064 is about 460.7675653932.

The spelling of 97824064 in words is "ninety-seven million, eight hundred twenty-four thousand, sixty-four".