18948672 has 84 divisors (see below), whose sum is σ = 55235856. Its totient is φ = 6209280.

The previous prime is 18948653. The next prime is 18948679. The reversal of 18948672 is 27684981.

Added to its reverse (27684981) it gives a triangular number (46633653 = T₉₆₅₇).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (193536) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (18948679) 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, 38347 + ... + 38837.

Almost surely, 2^18948672 is an apocalyptic number.

18948672 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 18948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617928).

18948672 is an abundant number, since it is smaller than the sum of its proper divisors (36287184).

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

18948672 is a wasteful number, since it uses less digits than its factorization.

18948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

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

The square root of 18948672 is about 4353.0072363827. The cubic root of 18948672 is about 266.5996609426.

Adding to 18948672 its reverse (27684981), we get a triangular number (46633653 = T₉₆₅₇).

The spelling of 18948672 in words is "eighteen million, nine hundred forty-eight thousand, six hundred seventy-two".