61404264 has 64 divisors (see below), whose sum is σ = 171360000. Its totient is φ = 20373120.

The previous prime is 61404253. The next prime is 61404283. The reversal of 61404264 is 46240416.

61404264 is a `hidden beast` number, since 614 + 0 + 42 + 6 + 4 = 666.

61404264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58012 + ... + 59060.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^61404264 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 61404264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

61404264 is an abundant number, since it is smaller than the sum of its proper divisors (109955736).

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

61404264 is a wasteful number, since it uses less digits than its factorization.

61404264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61404264 is about 7836.0872889472. The cubic root of 61404264 is about 394.5174131018.

It can be divided in two parts, 6140 and 4264, that added together give a square (10404 = 102²).

The spelling of 61404264 in words is "sixty-one million, four hundred four thousand, two hundred sixty-four".