216852000 has 192 divisors, whose sum is σ = 752903424. Its totient is φ = 54374400.

The previous prime is 216851953. The next prime is 216852043. The reversal of 216852000 is 258612.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 203469 + ... + 204531.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^216852000 is an apocalyptic number.

216852000 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 216852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

216852000 is an abundant number, since it is smaller than the sum of its proper divisors (536051424).

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

216852000 is a wasteful number, since it uses less digits than its factorization.

216852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 216852000 is about 14725.8955585051. The cubic root of 216852000 is about 600.7878539131.

The spelling of 216852000 in words is "two hundred sixteen million, eight hundred fifty-two thousand".