46668672 has 96 divisors (see below), whose sum is σ = 142253280. Its totient is φ = 14635008.

The previous prime is 46668667. The next prime is 46668691. The reversal of 46668672 is 27686664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 18393 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (1481805).

Almost surely, 2^46668672 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 46668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71126640).

46668672 is an abundant number, since it is smaller than the sum of its proper divisors (95584608).

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

46668672 is a wasteful number, since it uses less digits than its factorization.

46668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2405 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 46668672 is about 6831.4472844340. The cubic root of 46668672 is about 360.0325896423.

Subtracting from 46668672 its product of digits (580608), we obtain a palindrome (46088064).

The spelling of 46668672 in words is "forty-six million, six hundred sixty-eight thousand, six hundred seventy-two".