120553824 has 48 divisors (see below), whose sum is σ = 319282992. Its totient is φ = 39825408.

The previous prime is 120553819. The next prime is 120553859. The reversal of 120553824 is 428355021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 120553791 and 120553800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5292 + ... + 16404.

It is an arithmetic number, because the mean of its divisors is an integer number (6651729).

Almost surely, 2^120553824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120553824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159641496).

120553824 is an abundant number, since it is smaller than the sum of its proper divisors (198729168).

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

120553824 is a wasteful number, since it uses less digits than its factorization.

120553824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11239 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 120553824 is about 10979.7005423645. The cubic root of 120553824 is about 494.0000546367. Note that the first 4 decimals are identical.

The spelling of 120553824 in words is "one hundred twenty million, five hundred fifty-three thousand, eight hundred twenty-four".