97967880 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 26122176.

The previous prime is 97967873. The next prime is 97967893. The reversal of 97967880 is 8876979.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4681 + ... + 14759.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^97967880 is an apocalyptic number.

97967880 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 97967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

97967880 is an abundant number, since it is smaller than the sum of its proper divisors (232252920).

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

97967880 is a wasteful number, since it uses less digits than its factorization.

97967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 97967880 is about 9897.8724986736. The cubic root of 97967880 is about 460.9932539013.

The spelling of 97967880 in words is "ninety-seven million, nine hundred sixty-seven thousand, eight hundred eighty".