45624656 has 80 divisors (see below), whose sum is σ = 114099840. Its totient is φ = 17149440.

The previous prime is 45624647. The next prime is 45624659. The reversal of 45624656 is 65642654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45624659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35090 + ... + 36366.

It is an arithmetic number, because the mean of its divisors is an integer number (1426248).

Almost surely, 2^45624656 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 45624656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57049920).

45624656 is an abundant number, since it is smaller than the sum of its proper divisors (68475184).

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

45624656 is a wasteful number, since it uses less digits than its factorization.

45624656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 45624656 is about 6754.6025789827. The cubic root of 45624656 is about 357.3275768856.

The spelling of 45624656 in words is "forty-five million, six hundred twenty-four thousand, six hundred fifty-six".