60825600 has 336 divisors, whose sum is σ = 243779040. Its totient is φ = 14745600.

The previous prime is 60825587. The next prime is 60825613. The reversal of 60825600 is 652806.

60825600 is a `hidden beast` number, since 608 + 2 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60825587) and next prime (60825613).

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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529595 + ... + 5529605.

Almost surely, 2^60825600 is an apocalyptic number.

60825600 is a gapful number since it is divisible by the number (60) 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 60825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121889520).

60825600 is an abundant number, since it is smaller than the sum of its proper divisors (182953440).

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

60825600 is a wasteful number, since it uses less digits than its factorization.

60825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 60825600 is about 7799.0768684505. The cubic root of 60825600 is about 393.2742098883.

It can be divided in two parts, 60825 and 600, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 60825600 in words is "sixty million, eight hundred twenty-five thousand, six hundred".