216440016 has 160 divisors (see below), whose sum is σ = 634626048. Its totient is φ = 63106560.

The previous prime is 216439957. The next prime is 216440053. The reversal of 216440016 is 610044612.

216440016 is digitally balanced in base 2, because in such base 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295965 + ... + 1296131.

Almost surely, 2^216440016 is an apocalyptic number.

216440016 is a gapful number since it is divisible by the number (26) 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 216440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317313024).

216440016 is an abundant number, since it is smaller than the sum of its proper divisors (418186032).

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

216440016 is a wasteful number, since it uses less digits than its factorization.

216440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 216440016 is about 14711.9004890599. The cubic root of 216440016 is about 600.4071458801.

Adding to 216440016 its reverse (610044612), we get a palindrome (826484628).

The spelling of 216440016 in words is "two hundred sixteen million, four hundred forty thousand, sixteen".