64815120 has 160 divisors (see below), whose sum is σ = 229568640. Its totient is φ = 16796160.

The previous prime is 64815103. The next prime is 64815181. The reversal of 64815120 is 2151846.

64815120 is a `hidden beast` number, since 648 + 1 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×64815120² = 8401999561228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79515 + ... + 80325.

It is an arithmetic number, because the mean of its divisors is an integer number (1434804).

Almost surely, 2^64815120 is an apocalyptic number.

64815120 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 64815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114784320).

64815120 is an abundant number, since it is smaller than the sum of its proper divisors (164753520).

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

64815120 is a wasteful number, since it uses less digits than its factorization.

64815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 64815120 is about 8050.7838127725. The cubic root of 64815120 is about 401.6910078242.

Adding to 64815120 its reverse (2151846), we get a palindrome (66966966).

The spelling of 64815120 in words is "sixty-four million, eight hundred fifteen thousand, one hundred twenty".