120563440 has 80 divisors (see below), whose sum is σ = 292704480. Its totient is φ = 46126080.

The previous prime is 120563437. The next prime is 120563449. The reversal of 120563440 is 44365021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120563449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364075 + ... + 364405.

It is an arithmetic number, because the mean of its divisors is an integer number (3658806).

Almost surely, 2^120563440 is an apocalyptic number.

120563440 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 120563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146352240).

120563440 is an abundant number, since it is smaller than the sum of its proper divisors (172141040).

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

120563440 is a wasteful number, since it uses less digits than its factorization.

120563440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 120563440 is about 10980.1384326428. The cubic root of 120563440 is about 494.0131889587.

The spelling of 120563440 in words is "one hundred twenty million, five hundred sixty-three thousand, four hundred forty".