18849024 has 126 divisors (see below), whose sum is σ = 56969346. Its totient is φ = 6220800.

The previous prime is 18849011. The next prime is 18849031. The reversal of 18849024 is 42094881.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 186624 = 4320^2 + 432^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18849024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186574 + ... + 186674.

Almost surely, 2^18849024 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 18849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484673).

18849024 is an abundant number, since it is smaller than the sum of its proper divisors (38120322).

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

18849024 is an frugal number, since it uses more digits than its factorization.

18849024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18849024 is about 4341.5462683242. The cubic root of 18849024 is about 266.1315045017.

The spelling of 18849024 in words is "eighteen million, eight hundred forty-nine thousand, twenty-four".