46968672 has 24 divisors (see below), whose sum is σ = 123293016. Its totient is φ = 15656192.

The previous prime is 46968659. The next prime is 46968679. The reversal of 46968672 is 27686964.

46968672 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 (24).

It is a super-2 number, since 2×46968672² = 4412112298887168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46968679) 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 3 ways as a sum of consecutive naturals, for example, 244533 + ... + 244724.

It is an arithmetic number, because the mean of its divisors is an integer number (5137209).

Almost surely, 2^46968672 is an apocalyptic number.

It is an amenable number.

46968672 is an abundant number, since it is smaller than the sum of its proper divisors (76324344).

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

46968672 is a wasteful number, since it uses less digits than its factorization.

46968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489270 (or 489262 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 46968672 is about 6853.3693903072. The cubic root of 46968672 is about 360.8024077073.

The spelling of 46968672 in words is "forty-six million, nine hundred sixty-eight thousand, six hundred seventy-two".