120868736 has 32 divisors (see below), whose sum is σ = 243861600. Its totient is φ = 59664384.

The previous prime is 120868733. The next prime is 120868777. The reversal of 120868736 is 637868021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 120868693 and 120868702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120868733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4136 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (7620675).

Almost surely, 2^120868736 is an apocalyptic number.

120868736 is a gapful number since it is divisible by the number (16) 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 120868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121930800).

120868736 is an abundant number, since it is smaller than the sum of its proper divisors (122992864).

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

120868736 is an equidigital number, since it uses as much as digits as its factorization.

120868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12046 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 120868736 is about 10994.0318355006. The cubic root of 120868736 is about 494.4298247282.

The spelling of 120868736 in words is "one hundred twenty million, eight hundred sixty-eight thousand, seven hundred thirty-six".