213817968 has 400 divisors, whose sum is σ = 798212800. Its totient is φ = 54867456.

The previous prime is 213817951. The next prime is 213817969. The reversal of 213817968 is 869718312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213817969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5778846 + ... + 5778882.

It is an arithmetic number, because the mean of its divisors is an integer number (1995532).

Almost surely, 2^213817968 is an apocalyptic number.

213817968 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 213817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399106400).

213817968 is an abundant number, since it is smaller than the sum of its proper divisors (584394832).

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

213817968 is a wasteful number, since it uses less digits than its factorization.

213817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 213817968 is about 14622.5157890152. The cubic root of 213817968 is about 597.9727581987.

The spelling of 213817968 in words is "two hundred thirteen million, eight hundred seventeen thousand, nine hundred sixty-eight".