61279560 has 288 divisors, whose sum is σ = 229881600. Its totient is φ = 14100480.

The previous prime is 61279553. The next prime is 61279609. The reversal of 61279560 is 6597216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1976745 + ... + 1976775.

It is an arithmetic number, because the mean of its divisors is an integer number (798200).

Almost surely, 2^61279560 is an apocalyptic number.

61279560 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 61279560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114940800).

61279560 is an abundant number, since it is smaller than the sum of its proper divisors (168602040).

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

61279560 is a wasteful number, since it uses less digits than its factorization.

61279560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 61279560 is about 7828.1262125748. The cubic root of 61279560 is about 394.2501610754.

The spelling of 61279560 in words is "sixty-one million, two hundred seventy-nine thousand, five hundred sixty".