45630816 has 96 divisors (see below), whose sum is σ = 149361408. Its totient is φ = 11850240.

The previous prime is 45630787. The next prime is 45630817. The reversal of 45630816 is 61803654.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45630817) 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, 4306 + ... + 10478.

It is an arithmetic number, because the mean of its divisors is an integer number (1555848).

Almost surely, 2^45630816 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 45630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704).

45630816 is an abundant number, since it is smaller than the sum of its proper divisors (103730592).

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

45630816 is a wasteful number, since it uses less digits than its factorization.

45630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45630816 is about 6755.0585489691. The cubic root of 45630816 is about 357.3436576557.

The spelling of 45630816 in words is "forty-five million, six hundred thirty thousand, eight hundred sixteen".