213835040 has 24 divisors (see below), whose sum is σ = 505185660. Its totient is φ = 85533952.

The previous prime is 213835033. The next prime is 213835081. The reversal of 213835040 is 40538312.

It can be written as a sum of positive squares in 2 ways, for example, as 189667984 + 24167056 = 13772^2 + 4916^2 .

It is a super-3 number, since 3×213835040³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668075 + ... + 668394.

Almost surely, 2^213835040 is an apocalyptic number.

213835040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213835040 is an abundant number, since it is smaller than the sum of its proper divisors (291350620).

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

213835040 is a wasteful number, since it uses less digits than its factorization.

213835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336484 (or 1336476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213835040 is about 14623.0995346404. The cubic root of 213835040 is about 597.9886725445.

The spelling of 213835040 in words is "two hundred thirteen million, eight hundred thirty-five thousand, forty".