97260192 has 72 divisors (see below), whose sum is σ = 288628704. Its totient is φ = 31008384.

The previous prime is 97260181. The next prime is 97260199. The reversal of 97260192 is 29106279.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (97260199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (4008732).

Almost surely, 2^97260192 is an apocalyptic number.

97260192 is a gapful number since it is divisible by the number (92) 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 97260192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144314352).

97260192 is an abundant number, since it is smaller than the sum of its proper divisors (191368512).

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

97260192 is a wasteful number, since it uses less digits than its factorization.

97260192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14722 (or 14711 counting only the distinct ones).

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

The square root of 97260192 is about 9862.0582030325. The cubic root of 97260192 is about 459.8805486941.

The spelling of 97260192 in words is "ninety-seven million, two hundred sixty thousand, one hundred ninety-two".