47185920 has 126 divisors (see below), whose sum is σ = 163577778. Its totient is φ = 12582912.

The previous prime is 47185907. The next prime is 47185967. The reversal of 47185920 is 2958174.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)¹⁶.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 9437184 = 6144^2 + 3072^2 .

It is a super-2 number, since 2×47185920² = 4453022092492800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9437182 + ... + 9437186.

Almost surely, 2^47185920 is an apocalyptic number.

47185920 is a gapful number since it is divisible by the number (40) 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 47185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81788889).

47185920 is an abundant number, since it is smaller than the sum of its proper divisors (116391858).

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

47185920 is an frugal number, since it uses more digits than its factorization.

47185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 47185920 is about 6869.2008268794. The cubic root of 47185920 is about 361.3578350903.

The spelling of 47185920 in words is "forty-seven million, one hundred eighty-five thousand, nine hundred twenty".