56358000 has 240 divisors, whose sum is σ = 205201152. Its totient is φ = 14400000.

The previous prime is 56357999. The next prime is 56358011. The reversal of 56358000 is 85365.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557950 + ... + 558050.

Almost surely, 2^56358000 is an apocalyptic number.

56358000 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 56358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600576).

56358000 is an abundant number, since it is smaller than the sum of its proper divisors (148843152).

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

56358000 is a wasteful number, since it uses less digits than its factorization.

56358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56358000 is about 7507.1965473138. The cubic root of 56358000 is about 383.3997784422.

The spelling of 56358000 in words is "fifty-six million, three hundred fifty-eight thousand".