213834960 has 240 divisors, whose sum is σ = 752094720. Its totient is φ = 54405120.

The previous prime is 213834953. The next prime is 213834991. The reversal of 213834960 is 69438312.

213834960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×213834960³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402596 + ... + 2402684.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^213834960 is an apocalyptic number.

213834960 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 213834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

213834960 is an abundant number, since it is smaller than the sum of its proper divisors (538259760).

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

213834960 is a wasteful number, since it uses less digits than its factorization.

213834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 213834960 is about 14623.0967992419. The cubic root of 213834960 is about 597.9885979713.

The spelling of 213834960 in words is "two hundred thirteen million, eight hundred thirty-four thousand, nine hundred sixty".