64479120 has 80 divisors (see below), whose sum is σ = 208593792. Its totient is φ = 16445440.

The previous prime is 64479119. The next prime is 64479127. The reversal of 64479120 is 2197446.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (64479127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321 + ... + 11360.

Almost surely, 2^64479120 is an apocalyptic number.

64479120 is a gapful number since it is divisible by the number (60) 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 64479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104296896).

64479120 is an abundant number, since it is smaller than the sum of its proper divisors (144114672).

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

64479120 is a wasteful number, since it uses less digits than its factorization.

64479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 64479120 is about 8029.8891648640. The cubic root of 64479120 is about 400.9956861330.

The spelling of 64479120 in words is "sixty-four million, four hundred seventy-nine thousand, one hundred twenty".