214246640 has 80 divisors (see below), whose sum is σ = 518570976. Its totient is φ = 82252800.

The previous prime is 214246639. The next prime is 214246649. The reversal of 214246640 is 46642412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214246649) 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, 209330 + ... + 210350.

Almost surely, 2^214246640 is an apocalyptic number.

214246640 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 214246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259285488).

214246640 is an abundant number, since it is smaller than the sum of its proper divisors (304324336).

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

214246640 is a wasteful number, since it uses less digits than its factorization.

214246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 214246640 is about 14637.1663924409. The cubic root of 214246640 is about 598.3721057803.

The spelling of 214246640 in words is "two hundred fourteen million, two hundred forty-six thousand, six hundred forty".