970794000 has 240 divisors, whose sum is σ = 3699656064. Its totient is φ = 235296000.

The previous prime is 970793963. The next prime is 970794007. The reversal of 970794000 is 497079.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (970794007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 195549 + ... + 200451.

Almost surely, 2^970794000 is an apocalyptic number.

970794000 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 970794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849828032).

970794000 is an abundant number, since it is smaller than the sum of its proper divisors (2728862064).

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

970794000 is a wasteful number, since it uses less digits than its factorization.

970794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4924 counting only the distinct ones).

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

The square root of 970794000 is about 31157.5672991330. The cubic root of 970794000 is about 990.1683215484.

The spelling of 970794000 in words is "nine hundred seventy million, seven hundred ninety-four thousand".