214064010 has 48 divisors (see below), whose sum is σ = 561698280. Its totient is φ = 56557440.

The previous prime is 214063999. The next prime is 214064023. The reversal of 214064010 is 10460412.

214064010 is a `hidden beast` number, since 2 + 14 + 0 + 640 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193515921 + 20548089 = 13911^2 + 4533^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101 + ... + 20720.

Almost surely, 2^214064010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214064010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849140).

214064010 is an abundant number, since it is smaller than the sum of its proper divisors (347634270).

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

214064010 is a wasteful number, since it uses less digits than its factorization.

214064010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21943 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214064010 is about 14630.9264915111. The cubic root of 214064010 is about 598.2020342470.

The spelling of 214064010 in words is "two hundred fourteen million, sixty-four thousand, ten".