97400160 has 432 divisors, whose sum is σ = 402594192. Its totient is φ = 21288960.

The previous prime is 97400159. The next prime is 97400179. The reversal of 97400160 is 6100479.

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 71 ways as a sum of consecutive naturals, for example, 2265099 + ... + 2265141.

It is an arithmetic number, because the mean of its divisors is an integer number (931931).

Almost surely, 2^97400160 is an apocalyptic number.

97400160 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 97400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

97400160 is an abundant number, since it is smaller than the sum of its proper divisors (305194032).

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

97400160 is a wasteful number, since it uses less digits than its factorization.

97400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97400160 is about 9869.1519392499. The cubic root of 97400160 is about 460.1010490043.

The spelling of 97400160 in words is "ninety-seven million, four hundred thousand, one hundred sixty".