214544080 has 80 divisors (see below), whose sum is σ = 535639824. Its totient is φ = 79626240.

The previous prime is 214544051. The next prime is 214544101. The reversal of 214544080 is 80445412.

214544080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6492304 + 208051776 = 2548^2 + 14424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98200 + ... + 100360.

Almost surely, 2^214544080 is an apocalyptic number.

214544080 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 214544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267819912).

214544080 is an abundant number, since it is smaller than the sum of its proper divisors (321095744).

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

214544080 is a wasteful number, since it uses less digits than its factorization.

214544080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 214544080 is about 14647.3233049592. The cubic root of 214544080 is about 598.6488856932.

Adding to 214544080 its reverse (80445412), we get a palindrome (294989492).

It can be divided in two parts, 2145 and 44080, that added together give a square (46225 = 215²).

The spelling of 214544080 in words is "two hundred fourteen million, five hundred forty-four thousand, eighty".