970368 has 96 divisors (see below), whose sum is σ = 3108960. Its totient is φ = 262656.

The previous prime is 970351. The next prime is 970391. The reversal of 970368 is 863079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×970368² = 1883228110848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51063 + ... + 51081.

It is an arithmetic number, because the mean of its divisors is an integer number (32385).

2⁹⁷⁰³⁶⁸ 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 970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480).

970368 is an abundant number, since it is smaller than the sum of its proper divisors (2138592).

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

970368 is a wasteful number, since it uses less digits than its factorization.

970368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 970368 is about 985.0725861580. The cubic root of 970368 is about 99.0023466437.

The spelling of 970368 in words is "nine hundred seventy thousand, three hundred sixty-eight".