56295000 has 200 divisors, whose sum is σ = 198452100. Its totient is φ = 14904000.

The previous prime is 56294989. The next prime is 56295013. The reversal of 56295000 is 59265.

56295000 = 3³ + 4³ + ... + 122³.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 404931 + ... + 405069.

It is a vampire number, since it can be written as 6255 ⋅ 9000 (with its own digits).

Almost surely, 2^56295000 is an apocalyptic number.

56295000 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 56295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99226050).

56295000 is an abundant number, since it is smaller than the sum of its proper divisors (142157100).

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

56295000 is a wasteful number, since it uses less digits than its factorization.

56295000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56295000 is about 7502.9994002399. Note that the first 3 decimals coincide. The cubic root of 56295000 is about 383.2568635533.

The spelling of 56295000 in words is "fifty-six million, two hundred ninety-five thousand".