97056960 has 448 divisors, whose sum is σ = 417844224. Its totient is φ = 18432000.

The previous prime is 97056907. The next prime is 97056989. The reversal of 97056960 is 6965079.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 960910 + ... + 961010.

It is an arithmetic number, because the mean of its divisors is an integer number (932688).

Almost surely, 2^97056960 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 97056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208922112).

97056960 is an abundant number, since it is smaller than the sum of its proper divisors (320787264).

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

97056960 is a wasteful number, since it uses less digits than its factorization.

97056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 97056960 is about 9851.7490832847. The cubic root of 97056960 is about 459.5600077609.

The spelling of 97056960 in words is "ninety-seven million, fifty-six thousand, nine hundred sixty".