970044768 has 288 divisors, whose sum is σ = 3592149120. Its totient is φ = 251838720.

The previous prime is 970044767. The next prime is 970044793. The reversal of 970044768 is 867440079.

970044768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970044763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464655 + ... + 466737.

It is an arithmetic number, because the mean of its divisors is an integer number (12472740).

Almost surely, 2^970044768 is an apocalyptic number.

970044768 is a gapful number since it is divisible by the number (98) 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 970044768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796074560).

970044768 is an abundant number, since it is smaller than the sum of its proper divisors (2622104352).

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

970044768 is a wasteful number, since it uses less digits than its factorization.

970044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 970044768 is about 31145.5417034284. The cubic root of 970044768 is about 989.9135278008.

The spelling of 970044768 in words is "nine hundred seventy million, forty-four thousand, seven hundred sixty-eight".