214155936 has 216 divisors, whose sum is σ = 675851904. Its totient is φ = 64235520.

The previous prime is 214155883. The next prime is 214155937. The reversal of 214155936 is 639551412.

214155936 is a `hidden beast` number, since 21 + 41 + 5 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214155936.

It is not an unprimeable number, because it can be changed into a prime (214155937) 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 35 ways as a sum of consecutive naturals, for example, 2580151 + ... + 2580233.

It is an arithmetic number, because the mean of its divisors is an integer number (3128944).

Almost surely, 2^214155936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337925952).

214155936 is an abundant number, since it is smaller than the sum of its proper divisors (461695968).

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

214155936 is a wasteful number, since it uses less digits than its factorization.

214155936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 214155936 is about 14634.0676505201. The cubic root of 214155936 is about 598.2876510842.

The spelling of 214155936 in words is "two hundred fourteen million, one hundred fifty-five thousand, nine hundred thirty-six".