214839520 has 144 divisors (see below), whose sum is σ = 600702480. Its totient is φ = 72382464.

The previous prime is 214839497. The next prime is 214839529. The reversal of 214839520 is 25938412.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214839529) 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, 525076 + ... + 525484.

It is an arithmetic number, because the mean of its divisors is an integer number (4171545).

Almost surely, 2^214839520 is an apocalyptic number.

214839520 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 214839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300351240).

214839520 is an abundant number, since it is smaller than the sum of its proper divisors (385862960).

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

214839520 is a wasteful number, since it uses less digits than its factorization.

214839520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 214839520 is about 14657.4049544931. The cubic root of 214839520 is about 598.9235514004.

The spelling of 214839520 in words is "two hundred fourteen million, eight hundred thirty-nine thousand, five hundred twenty".