213863424 has 88 divisors (see below), whose sum is σ = 583640640. Its totient is φ = 69586944.

The previous prime is 213863413. The next prime is 213863437. The reversal of 213863424 is 424368312.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131287 + ... + 132905.

It is an arithmetic number, because the mean of its divisors is an integer number (6632280).

Almost surely, 2^213863424 is an apocalyptic number.

213863424 is a gapful number since it is divisible by the number (24) 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 213863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291820320).

213863424 is an abundant number, since it is smaller than the sum of its proper divisors (369777216).

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

213863424 is a wasteful number, since it uses less digits than its factorization.

213863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1667 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 213863424 is about 14624.0700217142. The cubic root of 213863424 is about 598.0151299476.

The spelling of 213863424 in words is "two hundred thirteen million, eight hundred sixty-three thousand, four hundred twenty-four".