213893040 has 80 divisors (see below), whose sum is σ = 665457408. Its totient is φ = 56832768.

The previous prime is 213893039. The next prime is 213893047. The reversal of 213893040 is 40398312.

213893040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213892989 and 213893007.

It is not an unprimeable number, because it can be changed into a prime (213893047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72229 + ... + 75131.

Almost surely, 2^213893040 is an apocalyptic number.

213893040 is a gapful number since it is divisible by the number (20) 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 213893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332728704).

213893040 is an abundant number, since it is smaller than the sum of its proper divisors (451564368).

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

213893040 is a wasteful number, since it uses less digits than its factorization.

213893040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 213893040 is about 14625.0825638695. The cubic root of 213893040 is about 598.0427332318.

The spelling of 213893040 in words is "two hundred thirteen million, eight hundred ninety-three thousand, forty".