120369564 has 84 divisors (see below), whose sum is σ = 361004784. Its totient is φ = 34385472.

The previous prime is 120369551. The next prime is 120369581. The reversal of 120369564 is 465963021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17464 + ... + 23360.

It is an arithmetic number, because the mean of its divisors is an integer number (4297676).

Almost surely, 2^120369564 is an apocalyptic number.

120369564 is a gapful number since it is divisible by the number (14) 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 120369564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180502392).

120369564 is an abundant number, since it is smaller than the sum of its proper divisors (240635220).

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

120369564 is an equidigital number, since it uses as much as digits as its factorization.

120369564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5909 counting only the distinct ones).

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

The square root of 120369564 is about 10971.3063944090. The cubic root of 120369564 is about 493.7482421772.

The spelling of 120369564 in words is "one hundred twenty million, three hundred sixty-nine thousand, five hundred sixty-four".