216504000 has 336 divisors, whose sum is σ = 807695616. Its totient is φ = 55296000.

The previous prime is 216503971. The next prime is 216504019. The reversal of 216504000 is 405612.

It is a happy number.

216504000 is a `hidden beast` number, since 216 + 50 + 400 + 0 = 666.

216504000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2231952 + ... + 2232048.

It is an arithmetic number, because the mean of its divisors is an integer number (2403856).

Almost surely, 2^216504000 is an apocalyptic number.

216504000 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 216504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403847808).

216504000 is an abundant number, since it is smaller than the sum of its proper divisors (591191616).

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

216504000 is a wasteful number, since it uses less digits than its factorization.

216504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 216504000 is about 14714.0748944675. The cubic root of 216504000 is about 600.4663041735.

Adding to 216504000 its reverse (405612), we get a palindrome (216909612).

The spelling of 216504000 in words is "two hundred sixteen million, five hundred four thousand".