214958080 has 84 divisors (see below), whose sum is σ = 528482052. Its totient is φ = 83886080.

The previous prime is 214958033. The next prime is 214958113. The reversal of 214958080 is 80859412.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 177209344 = 6144^2 + 13312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242860 + ... + 5242900.

It is an arithmetic number, because the mean of its divisors is an integer number (6291453).

Almost surely, 2^214958080 is an apocalyptic number.

214958080 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 214958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264241026).

214958080 is an abundant number, since it is smaller than the sum of its proper divisors (313523972).

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

214958080 is an frugal number, since it uses more digits than its factorization.

214958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 214958080 is about 14661.4487687950. The cubic root of 214958080 is about 599.0337038810.

The spelling of 214958080 in words is "two hundred fourteen million, nine hundred fifty-eight thousand, eighty".