216814920 has 64 divisors (see below), whose sum is σ = 743368320. Its totient is φ = 49557504.

The previous prime is 216814919. The next prime is 216814921. The reversal of 216814920 is 29418612.

It is an interprime number because it is at equal distance from previous prime (216814919) and next prime (216814921).

It is not an unprimeable number, because it can be changed into a prime (216814921) 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, 128217 + ... + 129896.

It is an arithmetic number, because the mean of its divisors is an integer number (11615130).

Almost surely, 2^216814920 is an apocalyptic number.

216814920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216814920 is an abundant number, since it is smaller than the sum of its proper divisors (526553400).

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

216814920 is a wasteful number, since it uses less digits than its factorization.

216814920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258134 (or 258130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 216814920 is about 14724.6364980600. The cubic root of 216814920 is about 600.7536086160.

The spelling of 216814920 in words is "two hundred sixteen million, eight hundred fourteen thousand, nine hundred twenty".