120867840 has 264 divisors, whose sum is σ = 435568848. Its totient is φ = 30965760.

The previous prime is 120867833. The next prime is 120867847. The reversal of 120867840 is 48768021.

It is an interprime number because it is at equal distance from previous prime (120867833) and next prime (120867847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120867795 and 120867804.

It is not an unprimeable number, because it can be changed into a prime (120867847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981410 + ... + 1981470.

It is an arithmetic number, because the mean of its divisors is an integer number (1649882).

Almost surely, 2^120867840 is an apocalyptic number.

120867840 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 120867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217784424).

120867840 is an abundant number, since it is smaller than the sum of its proper divisors (314701008).

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

120867840 is a wasteful number, since it uses less digits than its factorization.

120867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 120867840 is about 10993.9910860433. The cubic root of 120867840 is about 494.4286029890.

The spelling of 120867840 in words is "one hundred twenty million, eight hundred sixty-seven thousand, eight hundred forty".