120793536 has 84 divisors (see below), whose sum is σ = 354357432. Its totient is φ = 39320064.

The previous prime is 120793487. The next prime is 120793537. The reversal of 120793536 is 635397021.

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 120793536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120793537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22330 + ... + 27206.

Almost surely, 2^120793536 is an apocalyptic number.

120793536 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 120793536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177178716).

120793536 is an abundant number, since it is smaller than the sum of its proper divisors (233563896).

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

120793536 is a wasteful number, since it uses less digits than its factorization.

120793536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4925 counting only the distinct ones).

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

The square root of 120793536 is about 10990.6112659852. The cubic root of 120793536 is about 494.3272648835.

The spelling of 120793536 in words is "one hundred twenty million, seven hundred ninety-three thousand, five hundred thirty-six".