213873360 has 80 divisors (see below), whose sum is σ = 669915456. Its totient is φ = 56438784.

The previous prime is 213873349. The next prime is 213873383. The reversal of 213873360 is 63378312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18687 + ... + 27873.

Almost surely, 2^213873360 is an apocalyptic number.

213873360 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 213873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334957728).

213873360 is an abundant number, since it is smaller than the sum of its proper divisors (456042096).

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

213873360 is a wasteful number, since it uses less digits than its factorization.

213873360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 213873360 is about 14624.4097316781. The cubic root of 213873360 is about 598.0243909769.

The spelling of 213873360 in words is "two hundred thirteen million, eight hundred seventy-three thousand, three hundred sixty".