214576640 has 80 divisors (see below), whose sum is σ = 521484480. Its totient is φ = 84664320.

The previous prime is 214576639. The next prime is 214576741. The reversal of 214576640 is 46675412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214576640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201710 + ... + 202770.

It is an arithmetic number, because the mean of its divisors is an integer number (6518556).

Almost surely, 2^214576640 is an apocalyptic number.

214576640 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 214576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742240).

214576640 is an abundant number, since it is smaller than the sum of its proper divisors (306907840).

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

214576640 is an equidigital number, since it uses as much as digits as its factorization.

214576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 214576640 is about 14648.4347286664. The cubic root of 214576640 is about 598.6791685482.

The spelling of 214576640 in words is "two hundred fourteen million, five hundred seventy-six thousand, six hundred forty".