97536960 has 280 divisors, whose sum is σ = 358481376. Its totient is φ = 25159680.

The previous prime is 97536953. The next prime is 97537019. The reversal of 97536960 is 6963579.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373725 + ... + 1373795.

Almost surely, 2^97536960 is an apocalyptic number.

97536960 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 97536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179240688).

97536960 is an abundant number, since it is smaller than the sum of its proper divisors (260944416).

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

97536960 is a wasteful number, since it uses less digits than its factorization.

97536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 97536960 is about 9876.0801940851. The cubic root of 97536960 is about 460.3163545332.

The spelling of 97536960 in words is "ninety-seven million, five hundred thirty-six thousand, nine hundred sixty".