120828240 has 240 divisors, whose sum is σ = 452024640. Its totient is φ = 29652480.

The previous prime is 120828221. The next prime is 120828259. The reversal of 120828240 is 42828021.

It is an interprime number because it is at equal distance from previous prime (120828221) and next prime (120828259).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364875 + ... + 365205.

It is an arithmetic number, because the mean of its divisors is an integer number (1883436).

Almost surely, 2^120828240 is an apocalyptic number.

120828240 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 120828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226012320).

120828240 is an abundant number, since it is smaller than the sum of its proper divisors (331196400).

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

120828240 is a wasteful number, since it uses less digits than its factorization.

120828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120828240 is about 10992.1899546906. The cubic root of 120828240 is about 494.3746004484.

The spelling of 120828240 in words is "one hundred twenty million, eight hundred twenty-eight thousand, two hundred forty".