97925760 has 160 divisors (see below), whose sum is σ = 349895700. Its totient is φ = 26099712.

The previous prime is 97925741. The next prime is 97925833. The reversal of 97925760 is 6752979.

97925760 is a `hidden beast` number, since 9 + 79 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 627264 = 9864^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50896 + ... + 52784.

Almost surely, 2^97925760 is an apocalyptic number.

97925760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174947850).

97925760 is an abundant number, since it is smaller than the sum of its proper divisors (251969940).

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

97925760 is a wasteful number, since it uses less digits than its factorization.

97925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97925760 is about 9895.7445399525. The cubic root of 97925760 is about 460.9271784378.

The spelling of 97925760 in words is "ninety-seven million, nine hundred twenty-five thousand, seven hundred sixty".