216393600 has 96 divisors (see below), whose sum is σ = 712778040. Its totient is φ = 57702400.

The previous prime is 216393599. The next prime is 216393601. The reversal of 216393600 is 6393612.

It is a happy number.

216393600 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 an interprime number because it is at equal distance from previous prime (216393599) and next prime (216393601).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216393601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671 + ... + 20870.

Almost surely, 2^216393600 is an apocalyptic number.

216393600 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 216393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356389020).

216393600 is an abundant number, since it is smaller than the sum of its proper divisors (496384440).

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

216393600 is a wasteful number, since it uses less digits than its factorization.

216393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22568 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 216393600 is about 14710.3229060412. The cubic root of 216393600 is about 600.3642233020.

The spelling of 216393600 in words is "two hundred sixteen million, three hundred ninety-three thousand, six hundred".