46085640 has 256 divisors, whose sum is σ = 163296000. Its totient is φ = 10321920.

The previous prime is 46085639. The next prime is 46085647. The reversal of 46085640 is 4658064.

It is a happy number.

46085640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46085647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124020 + ... + 1124060.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 2^46085640 is an apocalyptic number.

46085640 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 46085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

46085640 is an abundant number, since it is smaller than the sum of its proper divisors (117210360).

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

46085640 is a wasteful number, since it uses less digits than its factorization.

46085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 46085640 is about 6788.6405119140. The cubic root of 46085640 is about 358.5270059350.

The spelling of 46085640 in words is "forty-six million, eighty-five thousand, six hundred forty".