216245040 has 160 divisors (see below), whose sum is σ = 739452672. Its totient is φ = 51840000.

The previous prime is 216245021. The next prime is 216245063. The reversal of 216245040 is 40542612.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216245040.

It is an unprimeable number.

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, 266235 + ... + 267045.

Almost surely, 2^216245040 is an apocalyptic number.

216245040 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 216245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369726336).

216245040 is an abundant number, since it is smaller than the sum of its proper divisors (523207632).

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

216245040 is a wasteful number, since it uses less digits than its factorization.

216245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 216245040 is about 14705.2725238263. The cubic root of 216245040 is about 600.2268031453.

Adding to 216245040 its reverse (40542612), we get a palindrome (256787652).

The spelling of 216245040 in words is "two hundred sixteen million, two hundred forty-five thousand, forty".