97368960 has 256 divisors, whose sum is σ = 345461760. Its totient is φ = 23175168.

The previous prime is 97368919. The next prime is 97368983. The reversal of 97368960 is 6986379.

It is a happy number.

It is a Smith number, since the sum of its digits (48) 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 (48).

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, 1173079 + ... + 1173161.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^97368960 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 97368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

97368960 is an abundant number, since it is smaller than the sum of its proper divisors (248092800).

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

97368960 is a wasteful number, since it uses less digits than its factorization.

97368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 97368960 is about 9867.5711297158. The cubic root of 97368960 is about 460.0519160056.

The spelling of 97368960 in words is "ninety-seven million, three hundred sixty-eight thousand, nine hundred sixty".