46088672 has 48 divisors (see below), whose sum is σ = 105430752. Its totient is φ = 19422720.

The previous prime is 46088671. The next prime is 46088687. The reversal of 46088672 is 27688064.

46088672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46088671) 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 7 ways as a sum of consecutive naturals, for example, 11978 + ... + 15350.

It is an arithmetic number, because the mean of its divisors is an integer number (2196474).

Almost surely, 2^46088672 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 46088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52715376).

46088672 is an abundant number, since it is smaller than the sum of its proper divisors (59342080).

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

46088672 is a wasteful number, since it uses less digits than its factorization.

46088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 46088672 is about 6788.8638224669. The cubic root of 46088672 is about 358.5348683266.

The spelling of 46088672 in words is "forty-six million, eighty-eight thousand, six hundred seventy-two".