97418160 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 20901888.

The previous prime is 97418147. The next prime is 97418171. The reversal of 97418160 is 6181479.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256851 + ... + 257229.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^97418160 is an apocalyptic number.

97418160 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 97418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

97418160 is an abundant number, since it is smaller than the sum of its proper divisors (309698640).

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

97418160 is a wasteful number, since it uses less digits than its factorization.

97418160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

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

The square root of 97418160 is about 9870.0638295808. The cubic root of 97418160 is about 460.1293901924.

The spelling of 97418160 in words is "ninety-seven million, four hundred eighteen thousand, one hundred sixty".