45320688 has 120 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 12942720.

The previous prime is 45320659. The next prime is 45320689. The reversal of 45320688 is 88602354.

45320688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45320689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20098 + ... + 22238.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2^45320688 is an apocalyptic number.

45320688 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 45320688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

45320688 is an abundant number, since it is smaller than the sum of its proper divisors (106075872).

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

45320688 is a wasteful number, since it uses less digits than its factorization.

45320688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2153 counting only the distinct ones).

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

The square root of 45320688 is about 6732.0641708171. The cubic root of 45320688 is about 356.5322594073.

The spelling of 45320688 in words is "forty-five million, three hundred twenty thousand, six hundred eighty-eight".