18775440 has 120 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 4933632.

The previous prime is 18775423. The next prime is 18775447. The reversal of 18775440 is 4457781.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 15492096 = 1812^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18775395 and 18775404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18775447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63934 + ... + 64226.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^18775440 is an apocalyptic number.

18775440 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 18775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990140).

18775440 is an abundant number, since it is smaller than the sum of its proper divisors (45204840).

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

18775440 is a wasteful number, since it uses less digits than its factorization.

18775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 18775440 is about 4333.0635813475. The cubic root of 18775440 is about 265.7847392584.

The spelling of 18775440 in words is "eighteen million, seven hundred seventy-five thousand, four hundred forty".