967374656 has 42 divisors (see below), whose sum is σ = 1956900582. Its totient is φ = 474472960.

The previous prime is 967374643. The next prime is 967374689. The reversal of 967374656 is 656473769.

967374656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 249134656 + 718240000 = 15784^2 + 26800^2 .

It is a super-2 number, since 2×967374656² = 1871627450142236672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 967374598 and 967374607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177086 + ... + 182466.

It is an arithmetic number, because the mean of its divisors is an integer number (46592871).

Almost surely, 2^967374656 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 967374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978450291).

967374656 is an abundant number, since it is smaller than the sum of its proper divisors (989525926).

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

967374656 is an equidigital number, since it uses as much as digits as its factorization.

967374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5436 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 53.

The square root of 967374656 is about 31102.6470899182. The cubic root of 967374656 is about 989.0044258130.

The spelling of 967374656 in words is "nine hundred sixty-seven million, three hundred seventy-four thousand, six hundred fifty-six".