56544000 has 288 divisors, whose sum is σ = 204072960. Its totient is φ = 13824000.

The previous prime is 56543987. The next prime is 56544041. The reversal of 56544000 is 44565.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823985 + ... + 1824015.

Almost surely, 2^56544000 is an apocalyptic number.

56544000 is a gapful number since it is divisible by the number (50) 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 56544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

56544000 is an abundant number, since it is smaller than the sum of its proper divisors (147528960).

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

56544000 is a wasteful number, since it uses less digits than its factorization.

56544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 56544000 is about 7519.5744560447. The cubic root of 56544000 is about 383.8210972190.

Adding to 56544000 its reverse (44565), we get a palindrome (56588565).

The spelling of 56544000 in words is "fifty-six million, five hundred forty-four thousand".