120207564 has 60 divisors (see below), whose sum is σ = 315280504. Its totient is φ = 39937536.

The previous prime is 120207533. The next prime is 120207587. The reversal of 120207564 is 465702021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186627 + ... + 187269.

Almost surely, 2^120207564 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 120207564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157640252).

120207564 is an abundant number, since it is smaller than the sum of its proper divisors (195072940).

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

120207564 is a wasteful number, since it uses less digits than its factorization.

120207564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120207564 is about 10963.9210139439. The cubic root of 120207564 is about 493.5266381903.

Adding to 120207564 its reverse (465702021), we get a palindrome (585909585).

The spelling of 120207564 in words is "one hundred twenty million, two hundred seven thousand, five hundred sixty-four".