970806816 has 288 divisors, whose sum is σ = 3440465280. Its totient is φ = 265047552.

The previous prime is 970806769. The next prime is 970806817. The reversal of 970806816 is 618608079.

It is a happy number.

970806816 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 not an unprimeable number, because it can be changed into a prime (970806817) 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, 973230 + ... + 974226.

It is an arithmetic number, because the mean of its divisors is an integer number (11946060).

Almost surely, 2^970806816 is an apocalyptic number.

970806816 is a gapful number since it is divisible by the number (96) 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 970806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720232640).

970806816 is an abundant number, since it is smaller than the sum of its proper divisors (2469658464).

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

970806816 is a wasteful number, since it uses less digits than its factorization.

970806816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 970806816 is about 31157.7729627777. The cubic root of 970806816 is about 990.1726787863.

The spelling of 970806816 in words is "nine hundred seventy million, eight hundred six thousand, eight hundred sixteen".