120827940 has 72 divisors (see below), whose sum is σ = 347945472. Its totient is φ = 31328640.

The previous prime is 120827933. The next prime is 120827951. The reversal of 120827940 is 49728021.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81405 + ... + 82875.

It is an arithmetic number, because the mean of its divisors is an integer number (4832576).

Almost surely, 2^120827940 is an apocalyptic number.

120827940 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 120827940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173972736).

120827940 is an abundant number, since it is smaller than the sum of its proper divisors (227117532).

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

120827940 is a wasteful number, since it uses less digits than its factorization.

120827940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 120827940 is about 10992.1763086297. The cubic root of 120827940 is about 494.3741912932.

The spelling of 120827940 in words is "one hundred twenty million, eight hundred twenty-seven thousand, nine hundred forty".