45064320 has 192 divisors, whose sum is σ = 167443200. Its totient is φ = 10278912.

The previous prime is 45064309. The next prime is 45064321. The reversal of 45064320 is 2346054.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45064321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93841 + ... + 94319.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^45064320 is an apocalyptic number.

45064320 is a gapful number since it is divisible by the number (40) 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 45064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

45064320 is an abundant number, since it is smaller than the sum of its proper divisors (122378880).

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

45064320 is a wasteful number, since it uses less digits than its factorization.

45064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45064320 is about 6712.9963503640. The cubic root of 45064320 is about 355.8587159773.

The spelling of 45064320 in words is "forty-five million, sixty-four thousand, three hundred twenty".