120834240 has 112 divisors (see below), whose sum is σ = 386242560. Its totient is φ = 32005120.

The previous prime is 120834191. The next prime is 120834247. The reversal of 120834240 is 42438021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120834240.

It is not an unprimeable number, because it can be changed into a prime (120834247) 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, 183031 + ... + 183689.

Almost surely, 2^120834240 is an apocalyptic number.

120834240 is a gapful number since it is divisible by the number (10) 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 120834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

120834240 is an abundant number, since it is smaller than the sum of its proper divisors (265408320).

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

120834240 is a wasteful number, since it uses less digits than its factorization.

120834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 120834240 is about 10992.4628723503. The cubic root of 120834240 is about 494.3827834099.

The spelling of 120834240 in words is "one hundred twenty million, eight hundred thirty-four thousand, two hundred forty".