46643632 has 80 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 18095616.

The previous prime is 46643621. The next prime is 46643659. The reversal of 46643632 is 23634664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48468 + ... + 49420.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2^46643632 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 46643632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782080).

46643632 is an abundant number, since it is smaller than the sum of its proper divisors (66920528).

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

46643632 is a wasteful number, since it uses less digits than its factorization.

46643632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

The square root of 46643632 is about 6829.6143375743. The cubic root of 46643632 is about 359.9681864891.

The spelling of 46643632 in words is "forty-six million, six hundred forty-three thousand, six hundred thirty-two".