214042864 has 80 divisors (see below), whose sum is σ = 486129600. Its totient is φ = 89413632.

The previous prime is 214042861. The next prime is 214042867. The reversal of 214042864 is 468240412.

It is an interprime number because it is at equal distance from previous prime (214042861) and next prime (214042867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214042861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086414 + ... + 1086610.

It is an arithmetic number, because the mean of its divisors is an integer number (6076620).

Almost surely, 2^214042864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214042864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

214042864 is an abundant number, since it is smaller than the sum of its proper divisors (272086736).

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

214042864 is a wasteful number, since it uses less digits than its factorization.

214042864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 214042864 is about 14630.2038263313. The cubic root of 214042864 is about 598.1823360941.

The spelling of 214042864 in words is "two hundred fourteen million, forty-two thousand, eight hundred sixty-four".