45626688 has 84 divisors (see below), whose sum is σ = 132126228. Its totient is φ = 15052800.

The previous prime is 45626671. The next prime is 45626723. The reversal of 45626688 is 88662654.

45626688 is a `hidden beast` number, since 4 + 562 + 6 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 28387584 = 4152^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64738 + ... + 65438.

Almost surely, 2^45626688 is an apocalyptic number.

45626688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66063114).

45626688 is an abundant number, since it is smaller than the sum of its proper divisors (86499540).

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

45626688 is a wasteful number, since it uses less digits than its factorization.

45626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45626688 is about 6754.7529932633. The cubic root of 45626688 is about 357.3328816113.

The spelling of 45626688 in words is "forty-five million, six hundred twenty-six thousand, six hundred eighty-eight".