61688280 has 64 divisors (see below), whose sum is σ = 185644800. Its totient is φ = 16398720.

The previous prime is 61688261. The next prime is 61688281. The reversal of 61688280 is 8288616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61688281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52095 + ... + 53265.

It is an arithmetic number, because the mean of its divisors is an integer number (2900700).

Almost surely, 2^61688280 is an apocalyptic number.

61688280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61688280 is an abundant number, since it is smaller than the sum of its proper divisors (123956520).

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

61688280 is a wasteful number, since it uses less digits than its factorization.

61688280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 61688280 is about 7854.1886913926. The cubic root of 61688280 is about 395.1247376170.

The spelling of 61688280 in words is "sixty-one million, six hundred eighty-eight thousand, two hundred eighty".