47662160 has 80 divisors (see below), whose sum is σ = 136407936. Its totient is φ = 15081984.

The previous prime is 47662079. The next prime is 47662171. The reversal of 47662160 is 6126674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 4007 + ... + 10553.

Almost surely, 2^47662160 is an apocalyptic number.

47662160 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 47662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68203968).

47662160 is an abundant number, since it is smaller than the sum of its proper divisors (88745776).

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

47662160 is a wasteful number, since it uses less digits than its factorization.

47662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 47662160 is about 6903.7786754791. The cubic root of 47662160 is about 362.5694769725.

The spelling of 47662160 in words is "forty-seven million, six hundred sixty-two thousand, one hundred sixty".