214153968 has 80 divisors (see below), whose sum is σ = 640998656. Its totient is φ = 60341760.

The previous prime is 214153957. The next prime is 214153969. The reversal of 214153968 is 869351412.

214153968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214153969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20163 + ... + 28893.

Almost surely, 2^214153968 is an apocalyptic number.

214153968 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 214153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320499328).

214153968 is an abundant number, since it is smaller than the sum of its proper divisors (426844688).

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

214153968 is a wasteful number, since it uses less digits than its factorization.

214153968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8816 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 214153968 is about 14634.0004100041. Note that the first 3 decimals coincide. The cubic root of 214153968 is about 598.2858184108.

The spelling of 214153968 in words is "two hundred fourteen million, one hundred fifty-three thousand, nine hundred sixty-eight".