18867420 has 144 divisors (see below), whose sum is σ = 67328352. Its totient is φ = 4216320.

The previous prime is 18867403. The next prime is 18867427. The reversal of 18867420 is 2476881.

It is a super-3 number, since 3×18867420³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18867427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25374 + ... + 26106.

It is an arithmetic number, because the mean of its divisors is an integer number (467558).

Almost surely, 2^18867420 is an apocalyptic number.

18867420 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 18867420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33664176).

18867420 is an abundant number, since it is smaller than the sum of its proper divisors (48460932).

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

18867420 is a wasteful number, since it uses less digits than its factorization.

18867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18867420 is about 4343.6643516736. The cubic root of 18867420 is about 266.2180547536.

The spelling of 18867420 in words is "eighteen million, eight hundred sixty-seven thousand, four hundred twenty".