46686080 has 128 divisors (see below), whose sum is σ = 135276480. Its totient is φ = 15040512.

The previous prime is 46686061. The next prime is 46686083. The reversal of 46686080 is 8068664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46686083) 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, 75854 + ... + 76466.

Almost surely, 2^46686080 is an apocalyptic number.

46686080 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 46686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67638240).

46686080 is an abundant number, since it is smaller than the sum of its proper divisors (88590400).

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

46686080 is a wasteful number, since it uses less digits than its factorization.

46686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 46686080 is about 6832.7212734020. The cubic root of 46686080 is about 360.0773496346.

The spelling of 46686080 in words is "forty-six million, six hundred eighty-six thousand, eighty".