214636968 has 384 divisors, whose sum is σ = 792529920. Its totient is φ = 50872320.

The previous prime is 214636967. The next prime is 214636973. The reversal of 214636968 is 869636412.

214636968 is a `hidden beast` number, since 2 + 1 + 4 + 636 + 9 + 6 + 8 = 666.

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 (214636967) 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 95 ways as a sum of consecutive naturals, for example, 4566721 + ... + 4566767.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^214636968 is an apocalyptic number.

214636968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214636968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

214636968 is an abundant number, since it is smaller than the sum of its proper divisors (577892952).

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

214636968 is a wasteful number, since it uses less digits than its factorization.

214636968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 214636968 is about 14650.4937800744. The cubic root of 214636968 is about 598.7352693002.

The spelling of 214636968 in words is "two hundred fourteen million, six hundred thirty-six thousand, nine hundred sixty-eight".