56967456 has 96 divisors (see below), whose sum is σ = 184076928. Its totient is φ = 15022080.

The previous prime is 56967451. The next prime is 56967467. The reversal of 56967456 is 65476965.

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

It is a super-2 number, since 2×56967456² = 6490582086223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56967451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476 + ... + 11996.

It is an arithmetic number, because the mean of its divisors is an integer number (1917468).

Almost surely, 2^56967456 is an apocalyptic number.

56967456 is a gapful number since it is divisible by the number (56) 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 56967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92038464).

56967456 is an abundant number, since it is smaller than the sum of its proper divisors (127109472).

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

56967456 is a wasteful number, since it uses less digits than its factorization.

56967456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6546 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 56967456 is about 7547.6788484938. The cubic root of 56967456 is about 384.7768561308.

The spelling of 56967456 in words is "fifty-six million, nine hundred sixty-seven thousand, four hundred fifty-six".