45655632 has 240 divisors, whose sum is σ = 154365120. Its totient is φ = 12441600.

The previous prime is 45655607. The next prime is 45655639. The reversal of 45655632 is 23655654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45655639) 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 47 ways as a sum of consecutive naturals, for example, 1113532 + ... + 1113572.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^45655632 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 45655632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

45655632 is an abundant number, since it is smaller than the sum of its proper divisors (108709488).

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

45655632 is a wasteful number, since it uses less digits than its factorization.

45655632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45655632 is about 6756.8951449612. The cubic root of 45655632 is about 357.4084255319.

The spelling of 45655632 in words is "forty-five million, six hundred fifty-five thousand, six hundred thirty-two".