213289920 has 168 divisors, whose sum is σ = 757610880. Its totient is φ = 55019520.

The previous prime is 213289919. The next prime is 213289927. The reversal of 213289920 is 29982312.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213289927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88086 + ... + 90474.

Almost surely, 2^213289920 is an apocalyptic number.

213289920 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 213289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378805440).

213289920 is an abundant number, since it is smaller than the sum of its proper divisors (544320960).

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

213289920 is a wasteful number, since it uses less digits than its factorization.

213289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 213289920 is about 14604.4486373160. The cubic root of 213289920 is about 597.4800983083.

The spelling of 213289920 in words is "two hundred thirteen million, two hundred eighty-nine thousand, nine hundred twenty".