213964992 has 84 divisors (see below), whose sum is σ = 649397736. Its totient is φ = 67123200.

The previous prime is 213964991. The next prime is 213965027. The reversal of 213964992 is 299469312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213964991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 20717.

Almost surely, 2^213964992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324698868).

213964992 is an abundant number, since it is smaller than the sum of its proper divisors (435432744).

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

213964992 is a wasteful number, since it uses less digits than its factorization.

213964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21886 (or 21873 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 213964992 is about 14627.5422405816. The cubic root of 213964992 is about 598.1097847304.

The spelling of 213964992 in words is "two hundred thirteen million, nine hundred sixty-four thousand, nine hundred ninety-two".