61410864 has 80 divisors (see below), whose sum is σ = 165748320. Its totient is φ = 19568640.

The previous prime is 61410859. The next prime is 61410871. The reversal of 61410864 is 46801416.

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 15 ways as a sum of consecutive naturals, for example, 218404 + ... + 218684.

It is an arithmetic number, because the mean of its divisors is an integer number (2071854).

Almost surely, 2^61410864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61410864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82874160).

61410864 is an abundant number, since it is smaller than the sum of its proper divisors (104337456).

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

61410864 is a wasteful number, since it uses less digits than its factorization.

61410864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61410864 is about 7836.5084061717. The cubic root of 61410864 is about 394.5315474168.

The spelling of 61410864 in words is "sixty-one million, four hundred ten thousand, eight hundred sixty-four".