213923808 has 288 divisors, whose sum is σ = 753822720. Its totient is φ = 58786560.

The previous prime is 213923791. The next prime is 213923819. The reversal of 213923808 is 808329312.

It is a happy number.

213923808 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 (288).

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, 1312335 + ... + 1312497.

It is an arithmetic number, because the mean of its divisors is an integer number (2617440).

Almost surely, 2^213923808 is an apocalyptic number.

213923808 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 213923808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

213923808 is an abundant number, since it is smaller than the sum of its proper divisors (539898912).

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

213923808 is a wasteful number, since it uses less digits than its factorization.

213923808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 213923808 is about 14626.1344175418. The cubic root of 213923808 is about 598.0714075271.

It can be divided in two parts, 21392 and 3808, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 213923808 in words is "two hundred thirteen million, nine hundred twenty-three thousand, eight hundred eight".