120768630 has 64 divisors (see below), whose sum is σ = 304432128. Its totient is φ = 30602880.

The previous prime is 120768619. The next prime is 120768647. The reversal of 120768630 is 36867021.

It is a junction number, because it is equal to n+sod(n) for n = 120768591 and 120768600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124407 + ... + 125373.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2^120768630 is an apocalyptic number.

120768630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120768630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064).

120768630 is an abundant number, since it is smaller than the sum of its proper divisors (183663498).

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

120768630 is a wasteful number, since it uses less digits than its factorization.

120768630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 120768630 is about 10989.4781495756. The cubic root of 120768630 is about 494.2932880071.

It can be divided in two parts, 12076 and 8630, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 120768630 in words is "one hundred twenty million, seven hundred sixty-eight thousand, six hundred thirty".