214606080 has 216 divisors, whose sum is σ = 800189208. Its totient is φ = 52789248.

The previous prime is 214606043. The next prime is 214606099. The reversal of 214606080 is 80606412.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 195105024 = 4416^2 + 13968^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149044 + ... + 150476.

Almost surely, 2^214606080 is an apocalyptic number.

214606080 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 214606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400094604).

214606080 is an abundant number, since it is smaller than the sum of its proper divisors (585583128).

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

214606080 is a wasteful number, since it uses less digits than its factorization.

214606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214606080 is about 14649.4395797245. The cubic root of 214606080 is about 598.7065469691.

The spelling of 214606080 in words is "two hundred fourteen million, six hundred six thousand, eighty".