46865680 has 80 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 17902080.

The previous prime is 46865669. The next prime is 46865759. The reversal of 46865680 is 8656864.

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

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, 210049 + ... + 210271.

Almost surely, 2^46865680 is an apocalyptic number.

46865680 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 46865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

46865680 is an abundant number, since it is smaller than the sum of its proper divisors (67127024).

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

46865680 is a wasteful number, since it uses less digits than its factorization.

46865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 46865680 is about 6845.8512984142. The cubic root of 46865680 is about 360.5384945200.

The spelling of 46865680 in words is "forty-six million, eight hundred sixty-five thousand, six hundred eighty".