97969920 has 144 divisors (see below), whose sum is σ = 323377152. Its totient is φ = 25251840.

The previous prime is 97969891. The next prime is 97969931. The reversal of 97969920 is 2996979.

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, 118629 + ... + 119451.

Almost surely, 2^97969920 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 97969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161688576).

97969920 is an abundant number, since it is smaller than the sum of its proper divisors (225407232).

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

97969920 is a wasteful number, since it uses less digits than its factorization.

97969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 97969920 is about 9897.9755505861. The cubic root of 97969920 is about 460.9964536565.

It can be divided in two parts, 97969 and 920, that added together give a palindrome (98889).

The spelling of 97969920 in words is "ninety-seven million, nine hundred sixty-nine thousand, nine hundred twenty".