61580772 has 108 divisors (see below), whose sum is σ = 174476848. Its totient is φ = 18295200.

The previous prime is 61580731. The next prime is 61580777. The reversal of 61580772 is 27708516.

61580772 is a `hidden beast` number, since 6 + 1 + 580 + 7 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61580777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291747 + ... + 291957.

Almost surely, 2^61580772 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 61580772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87238424).

61580772 is an abundant number, since it is smaller than the sum of its proper divisors (112896076).

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

61580772 is a wasteful number, since it uses less digits than its factorization.

61580772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 61580772 is about 7847.3417155111. The cubic root of 61580772 is about 394.8950679986.

The spelling of 61580772 in words is "sixty-one million, five hundred eighty thousand, seven hundred seventy-two".