64115120 has 40 divisors (see below), whose sum is σ = 156917040. Its totient is φ = 24295680.

The previous prime is 64115119. The next prime is 64115153. The reversal of 64115120 is 2151146.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×64115120⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 64115092 and 64115101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19571 + ... + 22610.

It is an arithmetic number, because the mean of its divisors is an integer number (3922926).

Almost surely, 2^64115120 is an apocalyptic number.

It is an amenable number.

64115120 is an abundant number, since it is smaller than the sum of its proper divisors (92801920).

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

64115120 is a wasteful number, since it uses less digits than its factorization.

64115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42213 (or 42207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 64115120 is about 8007.1917674051. The cubic root of 64115120 is about 400.2396896768.

Adding to 64115120 its reverse (2151146), we get a palindrome (66266266).

The spelling of 64115120 in words is "sixty-four million, one hundred fifteen thousand, one hundred twenty".