970084800 has 504 divisors, whose sum is σ = 3758732640. Its totient is φ = 236544000.

The previous prime is 970084799. The next prime is 970084837. The reversal of 970084800 is 8480079.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9604750 + ... + 9604850.

Almost surely, 2^970084800 is an apocalyptic number.

970084800 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 970084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879366320).

970084800 is an abundant number, since it is smaller than the sum of its proper divisors (2788647840).

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

970084800 is a wasteful number, since it uses less digits than its factorization.

970084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 970084800 is about 31146.1843569963. The cubic root of 970084800 is about 989.9271449294.

The spelling of 970084800 in words is "nine hundred seventy million, eighty-four thousand, eight hundred".