46676672 has 56 divisors (see below), whose sum is σ = 108362496. Its totient is φ = 19531008.

The previous prime is 46676671. The next prime is 46676681. The reversal of 46676672 is 27667664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (46676671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18053 + ... + 20475.

Almost surely, 2^46676672 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 46676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54181248).

46676672 is an abundant number, since it is smaller than the sum of its proper divisors (61685824).

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

46676672 is a wasteful number, since it uses less digits than its factorization.

46676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2475 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The square root of 46676672 is about 6832.0327868066. The cubic root of 46676672 is about 360.0531608737.

The spelling of 46676672 in words is "forty-six million, six hundred seventy-six thousand, six hundred seventy-two".