61365888 has 48 divisors (see below), whose sum is σ = 176590050. Its totient is φ = 20454912.

The previous prime is 61365853. The next prime is 61365901. The reversal of 61365888 is 88856316.

61365888 is a `hidden beast` number, since 61 + 3 + 6 + 588 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60093504 + 1272384 = 7752^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 25483 + ... + 27786.

Almost surely, 2^61365888 is an apocalyptic number.

It is an amenable number.

61365888 is an abundant number, since it is smaller than the sum of its proper divisors (115224162).

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

61365888 is a wasteful number, since it uses less digits than its factorization.

61365888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53289 (or 53274 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 61365888 is about 7833.6382352008. The cubic root of 61365888 is about 394.4352084122.

The spelling of 61365888 in words is "sixty-one million, three hundred sixty-five thousand, eight hundred eighty-eight".