213290168 has 96 divisors (see below), whose sum is σ = 511580160. Its totient is φ = 81544320.

The previous prime is 213290167. The next prime is 213290197. The reversal of 213290168 is 861092312.

213290168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213290167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293021 + ... + 293747.

It is an arithmetic number, because the mean of its divisors is an integer number (5328960).

Almost surely, 2^213290168 is an apocalyptic number.

213290168 is a gapful number since it is divisible by the number (28) 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 213290168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255790080).

213290168 is an abundant number, since it is smaller than the sum of its proper divisors (298289992).

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

213290168 is a wasteful number, since it uses less digits than its factorization.

213290168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 213290168 is about 14604.4571278771. The cubic root of 213290168 is about 597.4803298789.

The spelling of 213290168 in words is "two hundred thirteen million, two hundred ninety thousand, one hundred sixty-eight".