97868160 has 192 divisors, whose sum is σ = 364225680. Its totient is φ = 24072192.

The previous prime is 97868137. The next prime is 97868171. The reversal of 97868160 is 6186879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 74227 + ... + 75533.

Almost surely, 2^97868160 is an apocalyptic number.

97868160 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 97868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112840).

97868160 is an abundant number, since it is smaller than the sum of its proper divisors (266357520).

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

97868160 is a wasteful number, since it uses less digits than its factorization.

97868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97868160 is about 9892.8337699569. The cubic root of 97868160 is about 460.8367881509.

The spelling of 97868160 in words is "ninety-seven million, eight hundred sixty-eight thousand, one hundred sixty".