120793360 has 80 divisors (see below), whose sum is σ = 295695360. Its totient is φ = 45826560.

The previous prime is 120793357. The next prime is 120793367. The reversal of 120793360 is 63397021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (120793367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130981 + ... + 131899.

It is an arithmetic number, because the mean of its divisors is an integer number (3696192).

Almost surely, 2^120793360 is an apocalyptic number.

120793360 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 120793360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

120793360 is an abundant number, since it is smaller than the sum of its proper divisors (174902000).

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

120793360 is a wasteful number, since it uses less digits than its factorization.

120793360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 120793360 is about 10990.6032591482. The cubic root of 120793360 is about 494.3270247999.

The spelling of 120793360 in words is "one hundred twenty million, seven hundred ninety-three thousand, three hundred sixty".