46012680 has 288 divisors, whose sum is σ = 185889600. Its totient is φ = 9642240.

The previous prime is 46012669. The next prime is 46012717. The reversal of 46012680 is 8621064.

46012680 is a `hidden beast` number, since 460 + 126 + 80 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1484265 + ... + 1484295.

It is an arithmetic number, because the mean of its divisors is an integer number (645450).

Almost surely, 2^46012680 is an apocalyptic number.

46012680 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 46012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944800).

46012680 is an abundant number, since it is smaller than the sum of its proper divisors (139876920).

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

46012680 is a wasteful number, since it uses less digits than its factorization.

46012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46012680 is about 6783.2647007175. The cubic root of 46012680 is about 358.3377065748.

The spelling of 46012680 in words is "forty-six million, twelve thousand, six hundred eighty".