970857600 has 192 divisors, whose sum is σ = 3337554240. Its totient is φ = 247582720.

The previous prime is 970857599. The next prime is 970857619. The reversal of 970857600 is 6758079.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218602 + ... + 222998.

It is an arithmetic number, because the mean of its divisors is an integer number (17383095).

Almost surely, 2^970857600 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 970857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668777120).

970857600 is an abundant number, since it is smaller than the sum of its proper divisors (2366696640).

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

970857600 is a wasteful number, since it uses less digits than its factorization.

970857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 970857600 is about 31158.5879012512. The cubic root of 970857600 is about 990.1899441687.

The spelling of 970857600 in words is "nine hundred seventy million, eight hundred fifty-seven thousand, six hundred".