46632160 has 48 divisors (see below), whose sum is σ = 110602800. Its totient is φ = 18579456.

The previous prime is 46632151. The next prime is 46632163. The reversal of 46632160 is 6123664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46632163) 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, 60256 + ... + 61024.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^46632160 is an apocalyptic number.

46632160 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 46632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55301400).

46632160 is an abundant number, since it is smaller than the sum of its proper divisors (63970640).

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

46632160 is a wasteful number, since it uses less digits than its factorization.

46632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 46632160 is about 6828.7744141976. The cubic root of 46632160 is about 359.9386726808.

The spelling of 46632160 in words is "forty-six million, six hundred thirty-two thousand, one hundred sixty".