18741536 has 48 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 8282880.

The previous prime is 18741533. The next prime is 18741553. The reversal of 18741536 is 63514781.

It is a junction number, because it is equal to n+sod(n) for n = 18741496 and 18741505.

It is not an unprimeable number, because it can be changed into a prime (18741533) 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, 12305 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^18741536 is an apocalyptic number.

18741536 is a gapful number since it is divisible by the number (16) 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 18741536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

18741536 is an abundant number, since it is smaller than the sum of its proper divisors (22626784).

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

18741536 is a wasteful number, since it uses less digits than its factorization.

18741536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 18741536 is about 4329.1495700657. The cubic root of 18741536 is about 265.6246614252.

The spelling of 18741536 in words is "eighteen million, seven hundred forty-one thousand, five hundred thirty-six".