45868032 has 220 divisors, whose sum is σ = 158519680. Its totient is φ = 12939264.

The previous prime is 45867973. The next prime is 45868073. The reversal of 45868032 is 23086854.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 580569 + ... + 580647.

It is an arithmetic number, because the mean of its divisors is an integer number (720544).

Almost surely, 2^45868032 is an apocalyptic number.

45868032 is a gapful number since it is divisible by the number (42) 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 45868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79259840).

45868032 is an abundant number, since it is smaller than the sum of its proper divisors (112651648).

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

45868032 is an equidigital number, since it uses as much as digits as its factorization.

45868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45868032 is about 6772.5941853916. The cubic root of 45868032 is about 357.9618156792.

The spelling of 45868032 in words is "forty-five million, eight hundred sixty-eight thousand, thirty-two".