56898000 has 240 divisors, whose sum is σ = 207464400. Its totient is φ = 14515200.

The previous prime is 56897993. The next prime is 56898011. The reversal of 56898000 is 89865.

56898000 is a `hidden beast` number, since 568 + 98 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12702096 + 44195904 = 3564^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521946 + ... + 522054.

It is an arithmetic number, because the mean of its divisors is an integer number (864435).

Almost surely, 2^56898000 is an apocalyptic number.

56898000 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 56898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103732200).

56898000 is an abundant number, since it is smaller than the sum of its proper divisors (150566400).

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

56898000 is a wasteful number, since it uses less digits than its factorization.

56898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 56898000 is about 7543.0762955176. The cubic root of 56898000 is about 384.6204163444.

It can be divided in two parts, 5689 and 8000, that added together give a square (13689 = 117²).

The spelling of 56898000 in words is "fifty-six million, eight hundred ninety-eight thousand".