18924672 has 128 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 5455872.

The previous prime is 18924671. The next prime is 18924677. The reversal of 18924672 is 27642981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×18924672³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 18924672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18924671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84753 + ... + 84975.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^18924672 is an apocalyptic number.

18924672 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 18924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

18924672 is an abundant number, since it is smaller than the sum of its proper divisors (38652288).

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

18924672 is a wasteful number, since it uses less digits than its factorization.

18924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 18924672 is about 4350.2496480087. The cubic root of 18924672 is about 266.4870568311.

The spelling of 18924672 in words is "eighteen million, nine hundred twenty-four thousand, six hundred seventy-two".