18667040 has 72 divisors (see below), whose sum is σ = 51322572. Its totient is φ = 6397440.

The previous prime is 18667021. The next prime is 18667043. The reversal of 18667040 is 4076681.

It can be written as a sum of positive squares in 2 ways, for example, as 15147664 + 3519376 = 3892^2 + 1876^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 18666988 and 18667006.

It is not an unprimeable number, because it can be changed into a prime (18667043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6650 + ... + 9030.

Almost surely, 2^18667040 is an apocalyptic number.

18667040 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 18667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661286).

18667040 is an abundant number, since it is smaller than the sum of its proper divisors (32655532).

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

18667040 is a wasteful number, since it uses less digits than its factorization.

18667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 18667040 is about 4320.5370036605. The cubic root of 18667040 is about 265.2722489845.

The spelling of 18667040 in words is "eighteen million, six hundred sixty-seven thousand, forty".