120153620 has 96 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 43241472.

The previous prime is 120153619. The next prime is 120153629. The reversal of 120153620 is 26351021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120153592 and 120153601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120153629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166489 + ... + 1166591.

It is an arithmetic number, because the mean of its divisors is an integer number (2909088).

Almost surely, 2^120153620 is an apocalyptic number.

120153620 is a gapful number since it is divisible by the number (10) 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 120153620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

120153620 is an abundant number, since it is smaller than the sum of its proper divisors (159118828).

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

120153620 is a wasteful number, since it uses less digits than its factorization.

120153620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 120153620 is about 10961.4606690897. The cubic root of 120153620 is about 493.4528026139.

The spelling of 120153620 in words is "one hundred twenty million, one hundred fifty-three thousand, six hundred twenty".