56601600 has 264 divisors, whose sum is σ = 207123648. Its totient is φ = 13516800.

The previous prime is 56601593. The next prime is 56601613. The reversal of 56601600 is 610665.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×56601600² = 6407482245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844767 + ... + 844833.

Almost surely, 2^56601600 is an apocalyptic number.

56601600 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 56601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103561824).

56601600 is an abundant number, since it is smaller than the sum of its proper divisors (150522048).

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

56601600 is a wasteful number, since it uses less digits than its factorization.

56601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56601600 is about 7523.4034851256. The cubic root of 56601600 is about 383.9513827338.

It can be divided in two parts, 5660 and 1600, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 56601600 in words is "fifty-six million, six hundred one thousand, six hundred".