61516800 has 264 divisors, whose sum is σ = 228445200. Its totient is φ = 16220160.

The previous prime is 61516799. The next prime is 61516811. The reversal of 61516800 is 861516.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 691156 + ... + 691244.

Almost surely, 2^61516800 is an apocalyptic number.

61516800 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 61516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114222600).

61516800 is an abundant number, since it is smaller than the sum of its proper divisors (166928400).

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

61516800 is a wasteful number, since it uses less digits than its factorization.

61516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 61516800 is about 7843.2646264167. The cubic root of 61516800 is about 394.7582775728.

The spelling of 61516800 in words is "sixty-one million, five hundred sixteen thousand, eight hundred".