213878784 has 96 divisors (see below), whose sum is σ = 651792960. Its totient is φ = 61095936.

The previous prime is 213878747. The next prime is 213878803. The reversal of 213878784 is 487878312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40522 + ... + 45494.

It is an arithmetic number, because the mean of its divisors is an integer number (6789510).

Almost surely, 2^213878784 is an apocalyptic number.

213878784 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 213878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325896480).

213878784 is an abundant number, since it is smaller than the sum of its proper divisors (437914176).

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

213878784 is an equidigital number, since it uses as much as digits as its factorization.

213878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4985 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 213878784 is about 14624.5951738843. The cubic root of 213878784 is about 598.0294463936.

The spelling of 213878784 in words is "two hundred thirteen million, eight hundred seventy-eight thousand, seven hundred eighty-four".