213696000 has 480 divisors, whose sum is σ = 896246208. Its totient is φ = 47923200.

The previous prime is 213695987. The next prime is 213696011. The reversal of 213696000 is 696312.

It is a happy number.

213696000 is a `hidden beast` number, since 21 + 36 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031974 + ... + 4032026.

Almost surely, 2^213696000 is an apocalyptic number.

213696000 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 213696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448123104).

213696000 is an abundant number, since it is smaller than the sum of its proper divisors (682550208).

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

213696000 is an equidigital number, since it uses as much as digits as its factorization.

213696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 213696000 is about 14618.3446395274. The cubic root of 213696000 is about 597.8590362101.

The spelling of 213696000 in words is "two hundred thirteen million, six hundred ninety-six thousand".