61468800 has 192 divisors, whose sum is σ = 213751200. Its totient is φ = 15482880.

The previous prime is 61468783. The next prime is 61468807. The reversal of 61468800 is 886416.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61468807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 182232 + ... + 182568.

Almost surely, 2^61468800 is an apocalyptic number.

61468800 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 61468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106875600).

61468800 is an abundant number, since it is smaller than the sum of its proper divisors (152282400).

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

61468800 is a wasteful number, since it uses less digits than its factorization.

61468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61468800 is about 7840.2040789765. The cubic root of 61468800 is about 394.6555775636.

The spelling of 61468800 in words is "sixty-one million, four hundred sixty-eight thousand, eight hundred".