18893440 has 64 divisors (see below), whose sum is σ = 46101960. Its totient is φ = 7401472.

The previous prime is 18893431. The next prime is 18893447. The reversal of 18893440 is 4439881.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 5875776 = 3608^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 18893440.

It is not an unprimeable number, because it can be changed into a prime (18893447) 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, 33642 + ... + 34198.

Almost surely, 2^18893440 is an apocalyptic number.

18893440 is a gapful number since it is divisible by the number (10) 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 18893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23050980).

18893440 is an abundant number, since it is smaller than the sum of its proper divisors (27208520).

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

18893440 is an equidigital number, since it uses as much as digits as its factorization.

18893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 18893440 is about 4346.6584866999. The cubic root of 18893440 is about 266.3403787012.

It can be divided in two parts, 1889 and 3440, that added together give a square (5329 = 73²).

The spelling of 18893440 in words is "eighteen million, eight hundred ninety-three thousand, four hundred forty".