214892960 has 24 divisors (see below), whose sum is σ = 507684996. Its totient is φ = 85957120.

The previous prime is 214892941. The next prime is 214892963. The reversal of 214892960 is 69298412.

It can be written as a sum of positive squares in 2 ways, for example, as 214446736 + 446224 = 14644^2 + 668^2 .

It is not an unprimeable number, because it can be changed into a prime (214892963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671381 + ... + 671700.

Almost surely, 2^214892960 is an apocalyptic number.

214892960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214892960 is an abundant number, since it is smaller than the sum of its proper divisors (292792036).

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

214892960 is a wasteful number, since it uses less digits than its factorization.

214892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343096 (or 1343088 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 214892960 is about 14659.2278104953. The cubic root of 214892960 is about 598.9732067915.

The spelling of 214892960 in words is "two hundred fourteen million, eight hundred ninety-two thousand, nine hundred sixty".