97611360 has 384 divisors, whose sum is σ = 406425600. Its totient is φ = 19077120.

The previous prime is 97611359. The next prime is 97611377. The reversal of 97611360 is 6311679.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 702171 + ... + 702309.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^97611360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

97611360 is an abundant number, since it is smaller than the sum of its proper divisors (308814240).

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

97611360 is a wasteful number, since it uses less digits than its factorization.

97611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 97611360 is about 9879.8461526483. The cubic root of 97611360 is about 460.4333660148.

The spelling of 97611360 in words is "ninety-seven million, six hundred eleven thousand, three hundred sixty".