61536880 has 40 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 24499968.

The previous prime is 61536863. The next prime is 61536911. The reversal of 61536880 is 8863516.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16641 + ... + 19999.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^61536880 is an apocalyptic number.

It is an amenable number.

61536880 is an abundant number, since it is smaller than the sum of its proper divisors (82203920).

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

61536880 is a wasteful number, since it uses less digits than its factorization.

61536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 61536880 is about 7844.5446011862. The cubic root of 61536880 is about 394.8012245613.

The spelling of 61536880 in words is "sixty-one million, five hundred thirty-six thousand, eight hundred eighty".