214821768 has 32 divisors (see below), whose sum is σ = 613776960. Its totient is φ = 61377600.

The previous prime is 214821767. The next prime is 214821779. The reversal of 214821768 is 867128412.

It is a happy number.

It is a super-2 number, since 2×214821768² = 92296784013291648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214821767) 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, 639183 + ... + 639518.

It is an arithmetic number, because the mean of its divisors is an integer number (19180530).

Almost surely, 2^214821768 is an apocalyptic number.

214821768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214821768 is an abundant number, since it is smaller than the sum of its proper divisors (398955192).

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

214821768 is a wasteful number, since it uses less digits than its factorization.

214821768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278717 (or 1278713 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 214821768 is about 14656.7993777632. The cubic root of 214821768 is about 598.9070547712.

The spelling of 214821768 in words is "two hundred fourteen million, eight hundred twenty-one thousand, seven hundred sixty-eight".