216894240 has 96 divisors (see below), whose sum is σ = 759144960. Its totient is φ = 57837312.

The previous prime is 216894239. The next prime is 216894241. The reversal of 216894240 is 42498612.

It is an interprime number because it is at equal distance from previous prime (216894239) and next prime (216894241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×216894240² = 94086222690355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216894195 and 216894204.

It is not an unprimeable number, because it can be changed into a prime (216894241) 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, 20784 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (7907760).

Almost surely, 2^216894240 is an apocalyptic number.

216894240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216894240 is an abundant number, since it is smaller than the sum of its proper divisors (542250720).

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

216894240 is a wasteful number, since it uses less digits than its factorization.

216894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50231 (or 50217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216894240 is about 14727.3296968595. The cubic root of 216894240 is about 600.8268599808.

The spelling of 216894240 in words is "two hundred sixteen million, eight hundred ninety-four thousand, two hundred forty".