45020064 has 96 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 14257152.

The previous prime is 45020057. The next prime is 45020069. The reversal of 45020064 is 46002054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 45020064.

It is not an unprimeable number, because it can be changed into a prime (45020069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286674 + ... + 286830.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^45020064 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 45020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

45020064 is an abundant number, since it is smaller than the sum of its proper divisors (79205856).

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

45020064 is a wasteful number, since it uses less digits than its factorization.

45020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45020064 is about 6709.6992481034. The cubic root of 45020064 is about 355.7421859330.

The spelling of 45020064 in words is "forty-five million, twenty thousand, sixty-four".