97049160 has 192 divisors, whose sum is σ = 344962800. Its totient is φ = 23519232.

The previous prime is 97049153. The next prime is 97049171. The reversal of 97049160 is 6194079.

It can be written as a sum of positive squares in 8 ways, for example, as 3617604 + 93431556 = 1902^2 + 9666^2 .

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 47 ways as a sum of consecutive naturals, for example, 416404 + ... + 416636.

Almost surely, 2^97049160 is an apocalyptic number.

97049160 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 97049160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400).

97049160 is an abundant number, since it is smaller than the sum of its proper divisors (247913640).

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

97049160 is a wasteful number, since it uses less digits than its factorization.

97049160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97049160 is about 9851.3532065397. The cubic root of 97049160 is about 459.5476965569.

The spelling of 97049160 in words is "ninety-seven million, forty-nine thousand, one hundred sixty".