213960912 has 160 divisors (see below), whose sum is σ = 646994304. Its totient is φ = 60712960.

The previous prime is 213960911. The next prime is 213960931. The reversal of 213960912 is 219069312.

213960912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213960911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085998 + ... + 1086194.

Almost surely, 2^213960912 is an apocalyptic number.

213960912 is a gapful number since it is divisible by the number (22) 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 213960912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323497152).

213960912 is an abundant number, since it is smaller than the sum of its proper divisors (433033392).

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

213960912 is a wasteful number, since it uses less digits than its factorization.

213960912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 213960912 is about 14627.4027769799. The cubic root of 213960912 is about 598.1059830128.

The spelling of 213960912 in words is "two hundred thirteen million, nine hundred sixty thousand, nine hundred twelve".