46831680 has 336 divisors, whose sum is σ = 193999104. Its totient is φ = 10137600.

The previous prime is 46831679. The next prime is 46831691. The reversal of 46831680 is 8613864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463630 + ... + 463730.

Almost surely, 2^46831680 is an apocalyptic number.

46831680 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 46831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96999552).

46831680 is an abundant number, since it is smaller than the sum of its proper divisors (147167424).

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

46831680 is a wasteful number, since it uses less digits than its factorization.

46831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 46831680 is about 6843.3675920558. The cubic root of 46831680 is about 360.4512858961.

The spelling of 46831680 in words is "forty-six million, eight hundred thirty-one thousand, six hundred eighty".