97256320 has 128 divisors (see below), whose sum is σ = 281568960. Its totient is φ = 31358976.

The previous prime is 97256317. The next prime is 97256333. The reversal of 97256320 is 2365279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75522 + ... + 76798.

Almost surely, 2^97256320 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 97256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140784480).

97256320 is an abundant number, since it is smaller than the sum of its proper divisors (184312640).

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

97256320 is a wasteful number, since it uses less digits than its factorization.

97256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 97256320 is about 9861.8618931721. The cubic root of 97256320 is about 459.8744458851.

The spelling of 97256320 in words is "ninety-seven million, two hundred fifty-six thousand, three hundred twenty".