97882960 has 80 divisors (see below), whose sum is σ = 262768896. Its totient is φ = 33214464.

The previous prime is 97882933. The next prime is 97882987. The reversal of 97882960 is 6928879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97882933) and next prime (97882987).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56832 + ... + 58528.

Almost surely, 2^97882960 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 97882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131384448).

97882960 is an abundant number, since it is smaller than the sum of its proper divisors (164885936).

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

97882960 is a wasteful number, since it uses less digits than its factorization.

97882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 97882960 is about 9893.5817578873. The cubic root of 97882960 is about 460.8600168179.

It can be divided in two parts, 978 and 82960, that added together give a palindrome (83938).

The spelling of 97882960 in words is "ninety-seven million, eight hundred eighty-two thousand, nine hundred sixty".