61577088 has 32 divisors (see below), whose sum is σ = 163565160. Its totient is φ = 20525568.

The previous prime is 61577071. The next prime is 61577107. The reversal of 61577088 is 88077516.

61577088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 79795 + ... + 80562.

Almost surely, 2^61577088 is an apocalyptic number.

It is an amenable number.

61577088 is an abundant number, since it is smaller than the sum of its proper divisors (101988072).

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

61577088 is a wasteful number, since it uses less digits than its factorization.

61577088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160374 (or 160362 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 61577088 is about 7847.1069828313. The cubic root of 61577088 is about 394.8871931247.

The spelling of 61577088 in words is "sixty-one million, five hundred seventy-seven thousand, eighty-eight".