46085760 has 320 divisors, whose sum is σ = 189573120. Its totient is φ = 10450944.

The previous prime is 46085737. The next prime is 46085771. The reversal of 46085760 is 6758064.

It is a happy number.

46085760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 362817 + ... + 362943.

It is an arithmetic number, because the mean of its divisors is an integer number (592416).

Almost surely, 2^46085760 is an apocalyptic number.

46085760 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 46085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94786560).

46085760 is an abundant number, since it is smaller than the sum of its proper divisors (143487360).

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

46085760 is a wasteful number, since it uses less digits than its factorization.

46085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 46085760 is about 6788.6493502021. The cubic root of 46085760 is about 358.5273171180.

The spelling of 46085760 in words is "forty-six million, eighty-five thousand, seven hundred sixty".