18029952 has 160 divisors (see below), whose sum is σ = 56279520. Its totient is φ = 5723136.

The previous prime is 18029939. The next prime is 18029959. The reversal of 18029952 is 25992081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18029959) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383593 + ... + 383639.

It is an arithmetic number, because the mean of its divisors is an integer number (351747).

Almost surely, 2^18029952 is an apocalyptic number.

18029952 is a gapful number since it is divisible by the number (12) 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 18029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139760).

18029952 is an abundant number, since it is smaller than the sum of its proper divisors (38249568).

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

18029952 is an equidigital number, since it uses as much as digits as its factorization.

18029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 18029952 is about 4246.1690969626. The cubic root of 18029952 is about 262.2194226562.

It can be divided in two parts, 18029 and 952, that added together give a palindrome (18981).

The spelling of 18029952 in words is "eighteen million, twenty-nine thousand, nine hundred fifty-two".