64265120 has 48 divisors (see below), whose sum is σ = 153566280. Its totient is φ = 25411584.

The previous prime is 64265111. The next prime is 64265137. The reversal of 64265120 is 2156246.

64265120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18079504 + 46185616 = 4252^2 + 6796^2 .

It is a super-2 number, since 2×64265120² = 8260011297228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64265120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11984 + ... + 16496.

Almost surely, 2^64265120 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 64265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76783140).

64265120 is an abundant number, since it is smaller than the sum of its proper divisors (89301160).

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

64265120 is a wasteful number, since it uses less digits than its factorization.

64265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 64265120 is about 8016.5528751453. The cubic root of 64265120 is about 400.5515724034.

The spelling of 64265120 in words is "sixty-four million, two hundred sixty-five thousand, one hundred twenty".