216756000 has 288 divisors, whose sum is σ = 801335808. Its totient is φ = 57542400.

The previous prime is 216755969. The next prime is 216756049. The reversal of 216756000 is 657612.

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 (27).

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, 971889 + ... + 972111.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 2^216756000 is an apocalyptic number.

216756000 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 216756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400667904).

216756000 is an abundant number, since it is smaller than the sum of its proper divisors (584579808).

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

216756000 is an equidigital number, since it uses as much as digits as its factorization.

216756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 216756000 is about 14722.6356336085. The cubic root of 216756000 is about 600.6991849176.

The spelling of 216756000 in words is "two hundred sixteen million, seven hundred fifty-six thousand".