120645936 has 100 divisors (see below), whose sum is σ = 352413952. Its totient is φ = 39844224.

The previous prime is 120645929. The next prime is 120645947. The reversal of 120645936 is 639546021.

It is a happy number.

120645936 is a `hidden beast` number, since 1 + 2 + 0 + 64 + 593 + 6 = 666.

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 120645936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164226 + ... + 164958.

Almost surely, 2^120645936 is an apocalyptic number.

120645936 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 120645936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176206976).

120645936 is an abundant number, since it is smaller than the sum of its proper divisors (231768016).

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

120645936 is a wasteful number, since it uses less digits than its factorization.

120645936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 120645936 is about 10983.8943913350. The cubic root of 120645936 is about 494.1258400802.

The spelling of 120645936 in words is "one hundred twenty million, six hundred forty-five thousand, nine hundred thirty-six".