214106956 has 72 divisors (see below), whose sum is σ = 452649120. Its totient is φ = 86780160.

The previous prime is 214106939. The next prime is 214106969. The reversal of 214106956 is 659601412.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1964230 + ... + 1964338.

Almost surely, 2^214106956 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 214106956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226324560).

214106956 is an abundant number, since it is smaller than the sum of its proper divisors (238542164).

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

214106956 is a wasteful number, since it uses less digits than its factorization.

214106956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 214106956 is about 14632.3940624903. The cubic root of 214106956 is about 598.2420357816.

The spelling of 214106956 in words is "two hundred fourteen million, one hundred six thousand, nine hundred fifty-six".