61880680 has 96 divisors (see below), whose sum is σ = 152186040. Its totient is φ = 22630400.

The previous prime is 61880677. The next prime is 61880699. The reversal of 61880680 is 8608816.

It can be written as a sum of positive squares in 12 ways, for example, as 45185284 + 16695396 = 6722^2 + 4086^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612630 + ... + 612730.

Almost surely, 2^61880680 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 61880680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76093020).

61880680 is an abundant number, since it is smaller than the sum of its proper divisors (90305360).

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

61880680 is a wasteful number, since it uses less digits than its factorization.

61880680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 61880680 is about 7866.4273974912. The cubic root of 61880680 is about 395.5350970402.

The spelling of 61880680 in words is "sixty-one million, eight hundred eighty thousand, six hundred eighty".