214186940 has 72 divisors (see below), whose sum is σ = 502159056. Its totient is φ = 76665600.

The previous prime is 214186909. The next prime is 214186949. The reversal of 214186940 is 49681412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214186940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214186949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161480 + ... + 162800.

Almost surely, 2^214186940 is an apocalyptic number.

214186940 is a gapful number since it is divisible by the number (20) 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 214186940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251079528).

214186940 is an abundant number, since it is smaller than the sum of its proper divisors (287972116).

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

214186940 is a wasteful number, since it uses less digits than its factorization.

214186940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 214186940 is about 14635.1269212125. The cubic root of 214186940 is about 598.3165216596.

The spelling of 214186940 in words is "two hundred fourteen million, one hundred eighty-six thousand, nine hundred forty".