216086400 has 384 divisors, whose sum is σ = 823384800. Its totient is φ = 55296000.

The previous prime is 216086363. The next prime is 216086413. The reversal of 216086400 is 4680612.

216086400 is a `hidden beast` number, since 2 + 16 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3542370 + ... + 3542430.

Almost surely, 2^216086400 is an apocalyptic number.

216086400 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 216086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411692400).

216086400 is an abundant number, since it is smaller than the sum of its proper divisors (607298400).

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

216086400 is a wasteful number, since it uses less digits than its factorization.

216086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216086400 is about 14699.8775505104. The cubic root of 216086400 is about 600.0799893357.

The spelling of 216086400 in words is "two hundred sixteen million, eighty-six thousand, four hundred".