56355000 has 240 divisors, whose sum is σ = 201404280. Its totient is φ = 13056000.

The previous prime is 56354957. The next prime is 56355031. The reversal of 56355000 is 55365.

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 59 ways as a sum of consecutive naturals, for example, 3314992 + ... + 3315008.

Almost surely, 2^56355000 is an apocalyptic number.

56355000 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 56355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100702140).

56355000 is an abundant number, since it is smaller than the sum of its proper divisors (145049280).

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

56355000 is a wasteful number, since it uses less digits than its factorization.

56355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 56355000 is about 7506.9967363787. The cubic root of 56355000 is about 383.3929753870.

The spelling of 56355000 in words is "fifty-six million, three hundred fifty-five thousand".