56046600 has 192 divisors, whose sum is σ = 196862400. Its totient is φ = 14653440.

The previous prime is 56046583. The next prime is 56046623. The reversal of 56046600 is 664065.

56046600 is a `hidden beast` number, since 56 + 0 + 4 + 6 + 600 = 666.

It is a super-3 number, since 3×56046600³ (a number of 24 digits) contains 333 as substring.

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

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, 523747 + ... + 523853.

It is an arithmetic number, because the mean of its divisors is an integer number (1025325).

Almost surely, 2^56046600 is an apocalyptic number.

56046600 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 56046600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

56046600 is an abundant number, since it is smaller than the sum of its proper divisors (140815800).

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

56046600 is a wasteful number, since it uses less digits than its factorization.

56046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56046600 is about 7486.4277195469. The cubic root of 56046600 is about 382.6923292665.

The spelling of 56046600 in words is "fifty-six million, forty-six thousand, six hundred".