56761344 has 88 divisors (see below), whose sum is σ = 168181520. Its totient is φ = 18911232.

The previous prime is 56761339. The next prime is 56761349. The reversal of 56761344 is 44316765.

It is a happy number.

56761344 is a `hidden beast` number, since 567 + 61 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56761339) and next prime (56761349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 56761299 and 56761308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56761349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26622 + ... + 28674.

Almost surely, 2^56761344 is an apocalyptic number.

56761344 is a gapful number since it is divisible by the number (54) 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 56761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84090760).

56761344 is an abundant number, since it is smaller than the sum of its proper divisors (111420176).

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

56761344 is a wasteful number, since it uses less digits than its factorization.

56761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2058 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56761344 is about 7534.0124767616. The cubic root of 56761344 is about 384.3122460312.

The spelling of 56761344 in words is "fifty-six million, seven hundred sixty-one thousand, three hundred forty-four".