46768896 has 108 divisors (see below), whose sum is σ = 137749248. Its totient is φ = 15255552.

The previous prime is 46768889. The next prime is 46768903. The reversal of 46768896 is 69886764.

It is an interprime number because it is at equal distance from previous prime (46768889) and next prime (46768903).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121921 + ... + 122303.

It is an arithmetic number, because the mean of its divisors is an integer number (1275456).

Almost surely, 2^46768896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

46768896 is an abundant number, since it is smaller than the sum of its proper divisors (90980352).

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

46768896 is a wasteful number, since it uses less digits than its factorization.

46768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 46768896 is about 6838.7788383600. The cubic root of 46768896 is about 360.2901364765.

The spelling of 46768896 in words is "forty-six million, seven hundred sixty-eight thousand, eight hundred ninety-six".