47208160 has 96 divisors (see below), whose sum is σ = 120022560. Its totient is φ = 17491968.

The previous prime is 47208157. The next prime is 47208169. The reversal of 47208160 is 6180274.

It is a super-2 number, since 2×47208160² = 4457220741171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47208169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160974 + ... + 161266.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 2^47208160 is an apocalyptic number.

47208160 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 47208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60011280).

47208160 is an abundant number, since it is smaller than the sum of its proper divisors (72814400).

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

47208160 is a wasteful number, since it uses less digits than its factorization.

47208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 47208160 is about 6870.8194562221. The cubic root of 47208160 is about 361.4145987461.

It can be divided in two parts, 4720 and 8160, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 47208160 in words is "forty-seven million, two hundred eight thousand, one hundred sixty".