45684672 has 112 divisors (see below), whose sum is σ = 133819392. Its totient is φ = 13639680.

The previous prime is 45684671. The next prime is 45684689. The reversal of 45684672 is 27648654.

Its product of digits (322560) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45684671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204753 + ... + 204975.

It is an arithmetic number, because the mean of its divisors is an integer number (1194816).

Almost surely, 2^45684672 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 45684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66909696).

45684672 is an abundant number, since it is smaller than the sum of its proper divisors (88134720).

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

45684672 is a wasteful number, since it uses less digits than its factorization.

45684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 45684672 is about 6759.0437193437. The cubic root of 45684672 is about 357.4841879325.

The spelling of 45684672 in words is "forty-five million, six hundred eighty-four thousand, six hundred seventy-two".