46662160 has 40 divisors (see below), whose sum is σ = 112236120. Its totient is φ = 18020352.

The previous prime is 46662149. The next prime is 46662163. The reversal of 46662160 is 6126664.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 46457856 = 452^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46662163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7737 + ... + 12376.

It is an arithmetic number, because the mean of its divisors is an integer number (2805903).

Almost surely, 2^46662160 is an apocalyptic number.

46662160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46662160 is an abundant number, since it is smaller than the sum of its proper divisors (65573960).

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

46662160 is a wasteful number, since it uses less digits than its factorization.

46662160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20155 (or 20149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 46662160 is about 6830.9706484511. The cubic root of 46662160 is about 360.0158429242.

It can be divided in two parts, 466 and 62160, that added together give a palindrome (62626).

The spelling of 46662160 in words is "forty-six million, six hundred sixty-two thousand, one hundred sixty".