216839040 has 128 divisors (see below), whose sum is σ = 754081920. Its totient is φ = 52561920.

The previous prime is 216839033. The next prime is 216839047. The reversal of 216839040 is 40938612.

It is an interprime number because it is at equal distance from previous prime (216839033) and next prime (216839047).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 216838992 and 216839010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216839047) 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 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 26253.

It is an arithmetic number, because the mean of its divisors is an integer number (5891265).

Almost surely, 2^216839040 is an apocalyptic number.

216839040 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 216839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377040960).

216839040 is an abundant number, since it is smaller than the sum of its proper divisors (537242880).

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

216839040 is a wasteful number, since it uses less digits than its factorization.

216839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 216839040 is about 14725.4555107813. The cubic root of 216839040 is about 600.7758851269.

The spelling of 216839040 in words is "two hundred sixteen million, eight hundred thirty-nine thousand, forty".