120735936 has 84 divisors (see below), whose sum is σ = 347819472. Its totient is φ = 40041984.

The previous prime is 120735929. The next prime is 120735949. The reversal of 120735936 is 639537021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120735936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151090 + ... + 151886.

It is an arithmetic number, because the mean of its divisors is an integer number (4140708).

Almost surely, 2^120735936 is an apocalyptic number.

120735936 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 120735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173909736).

120735936 is an abundant number, since it is smaller than the sum of its proper divisors (227083536).

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

120735936 is a wasteful number, since it uses less digits than its factorization.

120735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 120735936 is about 10987.9905351252. The cubic root of 120735936 is about 494.2486796148.

The spelling of 120735936 in words is "one hundred twenty million, seven hundred thirty-five thousand, nine hundred thirty-six".