18533952 has 84 divisors (see below), whose sum is σ = 55473600. Its totient is φ = 5905152.

The previous prime is 18533899. The next prime is 18533959. The reversal of 18533952 is 25933581.

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

It is not an unprimeable number, because it can be changed into a prime (18533959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12549 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 2^18533952 is an apocalyptic number.

18533952 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 18533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27736800).

18533952 is an abundant number, since it is smaller than the sum of its proper divisors (36939648).

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

18533952 is a wasteful number, since it uses less digits than its factorization.

18533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1427 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 18533952 is about 4305.1076641589. The cubic root of 18533952 is about 264.6403189606.

The spelling of 18533952 in words is "eighteen million, five hundred thirty-three thousand, nine hundred fifty-two".