636465120 has 96 divisors (see below), whose sum is σ = 2059108128. Its totient is φ = 165132288.

The previous prime is 636465103. The next prime is 636465127. The reversal of 636465120 is 21564636.

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

It is a super-2 number, since 2×636465120² = 810175697953228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636465127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159 + ... + 35678.

It is an arithmetic number, because the mean of its divisors is an integer number (21449043).

Almost surely, 2^636465120 is an apocalyptic number.

636465120 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 636465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029554064).

636465120 is an abundant number, since it is smaller than the sum of its proper divisors (1422643008).

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

636465120 is a wasteful number, since it uses less digits than its factorization.

636465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35892 (or 35884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 636465120 is about 25228.2603443044. The cubic root of 636465120 is about 860.1843484379.

The spelling of 636465120 in words is "six hundred thirty-six million, four hundred sixty-five thousand, one hundred twenty".