18965920 has 48 divisors (see below), whose sum is σ = 45246600. Its totient is φ = 7512064.

The previous prime is 18965909. The next prime is 18965929. The reversal of 18965920 is 2956981.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 5216656 = 3708^2 + 2284^2 .

It is a super-2 number, since 2×18965920² = 719412242892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18965929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17556 + ... + 18604.

Almost surely, 2^18965920 is an apocalyptic number.

18965920 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 18965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22623300).

18965920 is an abundant number, since it is smaller than the sum of its proper divisors (26280680).

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

18965920 is a wasteful number, since it uses less digits than its factorization.

18965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 18965920 is about 4354.9879448742. The cubic root of 18965920 is about 266.6805270574.

The spelling of 18965920 in words is "eighteen million, nine hundred sixty-five thousand, nine hundred twenty".