97320960 has 272 divisors, whose sum is σ = 377484480. Its totient is φ = 23592960.

The previous prime is 97320947. The next prime is 97320961. The reversal of 97320960 is 6902379.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97320961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847355 + ... + 8847365.

Almost surely, 2^97320960 is an apocalyptic number.

97320960 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 97320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742240).

97320960 is an abundant number, since it is smaller than the sum of its proper divisors (280163520).

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

97320960 is an equidigital number, since it uses as much as digits as its factorization.

97320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 97320960 is about 9865.1386204148. The cubic root of 97320960 is about 459.9763062780.

The spelling of 97320960 in words is "ninety-seven million, three hundred twenty thousand, nine hundred sixty".