18252920 has 128 divisors (see below), whose sum is σ = 51148800. Its totient is φ = 5723136.

The previous prime is 18252887. The next prime is 18252943. The reversal of 18252920 is 2925281.

18252920 = T₄₅₆ + T₄₅₇ + ... + T₅₈₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250004 + ... + 250076.

It is an arithmetic number, because the mean of its divisors is an integer number (399600).

Almost surely, 2^18252920 is an apocalyptic number.

18252920 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 18252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574400).

18252920 is an abundant number, since it is smaller than the sum of its proper divisors (32895880).

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

18252920 is a wasteful number, since it uses less digits than its factorization.

18252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 18252920 is about 4272.3436191393. The cubic root of 18252920 is about 263.2959123596.

The spelling of 18252920 in words is "eighteen million, two hundred fifty-two thousand, nine hundred twenty".