45624064 has 36 divisors (see below), whose sum is σ = 94024000. Its totient is φ = 22072320.

The previous prime is 45624053. The next prime is 45624077. The reversal of 45624064 is 46042654.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5062 + ... + 10810.

Almost surely, 2^45624064 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 45624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47012000).

45624064 is an abundant number, since it is smaller than the sum of its proper divisors (48399936).

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

45624064 is an equidigital number, since it uses as much as digits as its factorization.

45624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 45624064 is about 6754.5587568693. The cubic root of 45624064 is about 357.3260313847.

The spelling of 45624064 in words is "forty-five million, six hundred twenty-four thousand, sixty-four".