214009936 has 40 divisors (see below), whose sum is σ = 478788800. Its totient is φ = 90768384.

The previous prime is 214009931. The next prime is 214009949. The reversal of 214009936 is 639900412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214009931) 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, 1015 + ... + 20713.

It is an arithmetic number, because the mean of its divisors is an integer number (11969720).

Almost surely, 2^214009936 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 214009936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239394400).

214009936 is an abundant number, since it is smaller than the sum of its proper divisors (264778864).

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

214009936 is a wasteful number, since it uses less digits than its factorization.

214009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 214009936 is about 14629.0784398745. The cubic root of 214009936 is about 598.1516600608.

The spelling of 214009936 in words is "two hundred fourteen million, nine thousand, nine hundred thirty-six".