64509120 has 168 divisors, whose sum is σ = 239091216. Its totient is φ = 15869952.

The previous prime is 64509097. The next prime is 64509121. The reversal of 64509120 is 2190546.

64509120 is a `hidden beast` number, since 645 + 0 + 9 + 12 + 0 = 666.

It is a super-2 number, since 2×64509120² = 8322853126348800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64509121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36579 + ... + 38301.

It is an arithmetic number, because the mean of its divisors is an integer number (1423162).

Almost surely, 2^64509120 is an apocalyptic number.

64509120 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 64509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119545608).

64509120 is an abundant number, since it is smaller than the sum of its proper divisors (174582096).

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

64509120 is a wasteful number, since it uses less digits than its factorization.

64509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 64509120 is about 8031.7569684347. The cubic root of 64509120 is about 401.0578664965.

Adding to 64509120 its reverse (2190546), we get a palindrome (66699666).

The spelling of 64509120 in words is "sixty-four million, five hundred nine thousand, one hundred twenty".