60465600 has 504 divisors, whose sum is σ = 257952240. Its totient is φ = 13271040.

The previous prime is 60465577. The next prime is 60465623. The reversal of 60465600 is 656406.

60465600 is a `hidden beast` number, since 6 + 0 + 4 + 656 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60465577) and next prime (60465623).

It is a nialpdrome in base 6.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3182391 + ... + 3182409.

It is an arithmetic number, because the mean of its divisors is an integer number (511810).

Almost surely, 2^60465600 is an apocalyptic number.

60465600 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 60465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

60465600 is an abundant number, since it is smaller than the sum of its proper divisors (197486640).

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

60465600 is a wasteful number, since it uses less digits than its factorization.

60465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

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

The square root of 60465600 is about 7775.9629628748. The cubic root of 60465600 is about 392.4968017374.

The spelling of 60465600 in words is "sixty million, four hundred sixty-five thousand, six hundred".