120839264 has 96 divisors (see below), whose sum is σ = 310153536. Its totient is φ = 44974080.

The previous prime is 120839261. The next prime is 120839267. The reversal of 120839264 is 462938021.

It is an interprime number because it is at equal distance from previous prime (120839261) and next prime (120839267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120839261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48284 + ... + 50724.

It is an arithmetic number, because the mean of its divisors is an integer number (3230766).

Almost surely, 2^120839264 is an apocalyptic number.

120839264 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 120839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155076768).

120839264 is an abundant number, since it is smaller than the sum of its proper divisors (189314272).

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

120839264 is a wasteful number, since it uses less digits than its factorization.

120839264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 120839264 is about 10992.6913901919. The cubic root of 120839264 is about 494.3896350679.

The spelling of 120839264 in words is "one hundred twenty million, eight hundred thirty-nine thousand, two hundred sixty-four".