970617600 has 432 divisors, whose sum is σ = 3672577440. Its totient is φ = 250675200.

The previous prime is 970617589. The next prime is 970617631. The reversal of 970617600 is 6716079.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7084732 + ... + 7084868.

Almost surely, 2^970617600 is an apocalyptic number.

970617600 is a gapful number since it is divisible by the number (90) 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 970617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836288720).

970617600 is an abundant number, since it is smaller than the sum of its proper divisors (2701959840).

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

970617600 is a wasteful number, since it uses less digits than its factorization.

970617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 970617600 is about 31154.7363975367. The cubic root of 970617600 is about 990.1083444327.

The spelling of 970617600 in words is "nine hundred seventy million, six hundred seventeen thousand, six hundred".