120093840 has 200 divisors, whose sum is σ = 427794048. Its totient is φ = 31207680.

The previous prime is 120093821. The next prime is 120093847. The reversal of 120093840 is 48390021.

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 (120093847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278425 + ... + 278855.

Almost surely, 2^120093840 is an apocalyptic number.

120093840 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 120093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897024).

120093840 is an abundant number, since it is smaller than the sum of its proper divisors (307700208).

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

120093840 is a wasteful number, since it uses less digits than its factorization.

120093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120093840 is about 10958.7335034665. The cubic root of 120093840 is about 493.3709532224.

The spelling of 120093840 in words is "one hundred twenty million, ninety-three thousand, eight hundred forty".