46585968 has 120 divisors (see below), whose sum is σ = 142688784. Its totient is φ = 13009920.

The previous prime is 46585949. The next prime is 46585999. The reversal of 46585968 is 86958564.

It is a self number, because there is not a number n which added to its sum of digits gives 46585968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75196 + ... + 75812.

Almost surely, 2^46585968 is an apocalyptic number.

46585968 is a gapful number since it is divisible by the number (48) 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 46585968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71344392).

46585968 is an abundant number, since it is smaller than the sum of its proper divisors (96102816).

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

46585968 is a wasteful number, since it uses less digits than its factorization.

46585968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 46585968 is about 6825.3914173474. The cubic root of 46585968 is about 359.8197863445.

The spelling of 46585968 in words is "forty-six million, five hundred eighty-five thousand, nine hundred sixty-eight".