61556880 has 160 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 12787200.

The previous prime is 61556851. The next prime is 61556893. The reversal of 61556880 is 8865516.

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 31 ways as a sum of consecutive naturals, for example, 16815 + ... + 20145.

Almost surely, 2^61556880 is an apocalyptic number.

61556880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

61556880 is an abundant number, since it is smaller than the sum of its proper divisors (176427888).

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

61556880 is a wasteful number, since it uses less digits than its factorization.

61556880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 61556880 is about 7845.8192688845. The cubic root of 61556880 is about 394.8439911603.

The spelling of 61556880 in words is "sixty-one million, five hundred fifty-six thousand, eight hundred eighty".