18779040 has 336 divisors, whose sum is σ = 79325568. Its totient is φ = 4105728.

The previous prime is 18779021. The next prime is 18779041. The reversal of 18779040 is 4097781.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 18778986 and 18779004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18779041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816469 + ... + 816491.

It is an arithmetic number, because the mean of its divisors is an integer number (236088).

Almost surely, 2^18779040 is an apocalyptic number.

18779040 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 18779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39662784).

18779040 is an abundant number, since it is smaller than the sum of its proper divisors (60546528).

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

18779040 is an equidigital number, since it uses as much as digits as its factorization.

18779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 18779040 is about 4333.4789719116. The cubic root of 18779040 is about 265.8017253479.

The spelling of 18779040 in words is "eighteen million, seven hundred seventy-nine thousand, forty".