97812560 has 160 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 33972224.

The previous prime is 97812557. The next prime is 97812607. The reversal of 97812560 is 6521879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657811 + ... + 1657869.

It is an arithmetic number, because the mean of its divisors is an integer number (1627128).

Almost surely, 2^97812560 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 97812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

97812560 is an abundant number, since it is smaller than the sum of its proper divisors (162527920).

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

97812560 is a wasteful number, since it uses less digits than its factorization.

97812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 97812560 is about 9890.0232557866. The cubic root of 97812560 is about 460.7495027692.

The spelling of 97812560 in words is "ninety-seven million, eight hundred twelve thousand, five hundred sixty".