46651680 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 12439296.

The previous prime is 46651667. The next prime is 46651681. The reversal of 46651680 is 8615664.

46651680 is a `hidden beast` number, since 4 + 66 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (46651681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^46651680 is an apocalyptic number.

46651680 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 46651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

46651680 is an abundant number, since it is smaller than the sum of its proper divisors (116644320).

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

46651680 is a wasteful number, since it uses less digits than its factorization.

46651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46651680 is about 6830.2035108773. The cubic root of 46651680 is about 359.9888885459.

The spelling of 46651680 in words is "forty-six million, six hundred fifty-one thousand, six hundred eighty".