216405896 has 128 divisors (see below), whose sum is σ = 525312000. Its totient is φ = 81430272.

The previous prime is 216405887. The next prime is 216405899. The reversal of 216405896 is 698504612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216405899) by changing a digit.

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, 905345 + ... + 905583.

It is an arithmetic number, because the mean of its divisors is an integer number (4104000).

Almost surely, 2^216405896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216405896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262656000).

216405896 is an abundant number, since it is smaller than the sum of its proper divisors (308906104).

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

216405896 is a wasteful number, since it uses less digits than its factorization.

216405896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 216405896 is about 14710.7408379048. The cubic root of 216405896 is about 600.3755944619.

The spelling of 216405896 in words is "two hundred sixteen million, four hundred five thousand, eight hundred ninety-six".