214435120 has 40 divisors (see below), whose sum is σ = 503516880. Its totient is φ = 84921600.

The previous prime is 214435099. The next prime is 214435129. The reversal of 214435120 is 21534412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 214435091 and 214435100.

It is not an unprimeable number, because it can be changed into a prime (214435129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5190 + ... + 21349.

It is an arithmetic number, because the mean of its divisors is an integer number (12587922).

Almost surely, 2^214435120 is an apocalyptic number.

214435120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214435120 is an abundant number, since it is smaller than the sum of its proper divisors (289081760).

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

214435120 is a wasteful number, since it uses less digits than its factorization.

214435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26653 (or 26647 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 214435120 is about 14643.6033816817. The cubic root of 214435120 is about 598.5475237288.

Adding to 214435120 its reverse (21534412), we get a palindrome (235969532).

The spelling of 214435120 in words is "two hundred fourteen million, four hundred thirty-five thousand, one hundred twenty".