120086064 has 300 divisors, whose sum is σ = 424193088. Its totient is φ = 32659200.

The previous prime is 120086051. The next prime is 120086069. The reversal of 120086064 is 460680021.

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

It is not an unprimeable number, because it can be changed into a prime (120086069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1968594 + ... + 1968654.

Almost surely, 2^120086064 is an apocalyptic number.

120086064 is a gapful number since it is divisible by the number (14) 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 120086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212096544).

120086064 is an abundant number, since it is smaller than the sum of its proper divisors (304107024).

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

120086064 is a wasteful number, since it uses less digits than its factorization.

120086064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120086064 is about 10958.3787122001. The cubic root of 120086064 is about 493.3603045071.

The spelling of 120086064 in words is "one hundred twenty million, eighty-six thousand, sixty-four".