213817080 has 64 divisors (see below), whose sum is σ = 658801440. Its totient is φ = 55475712.

The previous prime is 213817067. The next prime is 213817081. The reversal of 213817080 is 80718312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213817081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19639 + ... + 28518.

Almost surely, 2^213817080 is an apocalyptic number.

213817080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213817080 is an abundant number, since it is smaller than the sum of its proper divisors (444984360).

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

213817080 is a wasteful number, since it uses less digits than its factorization.

213817080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48208 (or 48204 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 213817080 is about 14622.4854248517. The cubic root of 213817080 is about 597.9719303909.

The spelling of 213817080 in words is "two hundred thirteen million, eight hundred seventeen thousand, eighty".