61580520 has 128 divisors (see below), whose sum is σ = 216144000. Its totient is φ = 15552000.

The previous prime is 61580513. The next prime is 61580521. The reversal of 61580520 is 2508516.

61580520 is a `hidden beast` number, since 61 + 5 + 80 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61580521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19020 + ... + 22020.

It is an arithmetic number, because the mean of its divisors is an integer number (1688625).

Almost surely, 2^61580520 is an apocalyptic number.

61580520 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 61580520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108072000).

61580520 is an abundant number, since it is smaller than the sum of its proper divisors (154563480).

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

61580520 is a wasteful number, since it uses less digits than its factorization.

61580520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61580520 is about 7847.3256591020. The cubic root of 61580520 is about 394.8945293365.

The spelling of 61580520 in words is "sixty-one million, five hundred eighty thousand, five hundred twenty".