47162880 has 240 divisors, whose sum is σ = 172355040. Its totient is φ = 11894784.

The previous prime is 47162849. The next prime is 47162881. The reversal of 47162880 is 8826174.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47162881) 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 23 ways as a sum of consecutive naturals, for example, 529876 + ... + 529964.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^47162880 is an apocalyptic number.

47162880 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 47162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

47162880 is an abundant number, since it is smaller than the sum of its proper divisors (125192160).

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

47162880 is a wasteful number, since it uses less digits than its factorization.

47162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 47162880 is about 6867.5235711281. The cubic root of 47162880 is about 361.2990107632.

The spelling of 47162880 in words is "forty-seven million, one hundred sixty-two thousand, eight hundred eighty".