18434880 has 168 divisors, whose sum is σ = 65498472. Its totient is φ = 4755456.

The previous prime is 18434879. The next prime is 18434957. The reversal of 18434880 is 8843481.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 9144576 = 3048^2 + 3024^2 .

It is a super-2 number, since 2×18434880² = 679689601228800, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106474 + ... + 106646.

Almost surely, 2^18434880 is an apocalyptic number.

18434880 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 18434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749236).

18434880 is an abundant number, since it is smaller than the sum of its proper divisors (47063592).

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

18434880 is a wasteful number, since it uses less digits than its factorization.

18434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 18434880 is about 4293.5859138953. The cubic root of 18434880 is about 264.1679372253.

The spelling of 18434880 in words is "eighteen million, four hundred thirty-four thousand, eight hundred eighty".