97814160 has 120 divisors (see below), whose sum is σ = 333171384. Its totient is φ = 25712640.

The previous prime is 97814159. The next prime is 97814173. The reversal of 97814160 is 6141879.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 97772544 = 204^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51630 + ... + 53490.

Almost surely, 2^97814160 is an apocalyptic number.

97814160 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 97814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166585692).

97814160 is an abundant number, since it is smaller than the sum of its proper divisors (235357224).

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

97814160 is a wasteful number, since it uses less digits than its factorization.

97814160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97814160 is about 9890.1041450533. The cubic root of 97814160 is about 460.7520150409.

The spelling of 97814160 in words is "ninety-seven million, eight hundred fourteen thousand, one hundred sixty".