56808000 has 224 divisors, whose sum is σ = 209214720. Its totient is φ = 15091200.

The previous prime is 56807983. The next prime is 56808029. The reversal of 56808000 is 80865.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 215869 + ... + 216131.

Almost surely, 2^56808000 is an apocalyptic number.

56808000 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 56808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607360).

56808000 is an abundant number, since it is smaller than the sum of its proper divisors (152406720).

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

56808000 is a wasteful number, since it uses less digits than its factorization.

56808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56808000 is about 7537.1081987723. The cubic root of 56808000 is about 384.4175146311.

Adding to 56808000 its reverse (80865), we get a palindrome (56888865).

The spelling of 56808000 in words is "fifty-six million, eight hundred eight thousand".