56437380 has 72 divisors (see below), whose sum is σ = 172035864. Its totient is φ = 14976000.

The previous prime is 56437379. The next prime is 56437387. The reversal of 56437380 is 8373465.

It is a happy number.

56437380 is a `hidden beast` number, since 5 + 643 + 7 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 56070144 = 606^2 + 7488^2 .

It is a super-2 number, since 2×56437380² = 6370355722528800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56437387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42730 + ... + 44030.

It is an arithmetic number, because the mean of its divisors is an integer number (2389387).

Almost surely, 2^56437380 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 56437380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017932).

56437380 is an abundant number, since it is smaller than the sum of its proper divisors (115598484).

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

56437380 is a wasteful number, since it uses less digits than its factorization.

56437380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1552 counting only the distinct ones).

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

The square root of 56437380 is about 7512.4816139542. The cubic root of 56437380 is about 383.5796996408.

It can be divided in two parts, 564373 and 80, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 56437380 in words is "fifty-six million, four hundred thirty-seven thousand, three hundred eighty".