18729648 has 120 divisors (see below), whose sum is σ = 63487008. Its totient is φ = 5031936.

The previous prime is 18729647. The next prime is 18729671. The reversal of 18729648 is 84692781.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18729647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16590 + ... + 17682.

Almost surely, 2^18729648 is an apocalyptic number.

18729648 is a gapful number since it is divisible by the number (18) 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 18729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743504).

18729648 is an abundant number, since it is smaller than the sum of its proper divisors (44757360).

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

18729648 is a wasteful number, since it uses less digits than its factorization.

18729648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 18729648 is about 4327.7763343315. The cubic root of 18729648 is about 265.5684864870.

The spelling of 18729648 in words is "eighteen million, seven hundred twenty-nine thousand, six hundred forty-eight".