970816 has 56 divisors (see below), whose sum is σ = 2414016. Its totient is φ = 376320.

The previous prime is 970813. The next prime is 970817. The reversal of 970816 is 618079.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4830 + ... + 5026.

2⁹⁷⁰⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207008).

970816 is an abundant number, since it is smaller than the sum of its proper divisors (1443200).

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

970816 is a wasteful number, since it uses less digits than its factorization.

970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 970816 is about 985.2999543286. The cubic root of 970816 is about 99.0175801178.

The spelling of 970816 in words is "nine hundred seventy thousand, eight hundred sixteen".