47561580 has 240 divisors, whose sum is σ = 173438496. Its totient is φ = 10782720.

The previous prime is 47561567. The next prime is 47561593. The reversal of 47561580 is 8516574.

47561580 is a `hidden beast` number, since 4 + 75 + 6 + 1 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (47561567) and next prime (47561593).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 471 × 255 × 396.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302862 + ... + 303018.

Almost surely, 2^47561580 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 47561580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86719248).

47561580 is an abundant number, since it is smaller than the sum of its proper divisors (125876916).

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

47561580 is a wasteful number, since it uses less digits than its factorization.

47561580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 47561580 is about 6896.4904117964. The cubic root of 47561580 is about 362.3142575978.

It can be divided in two parts, 4756 and 1580, that added together give a palindrome (6336).

The spelling of 47561580 in words is "forty-seven million, five hundred sixty-one thousand, five hundred eighty".