214013296 has 80 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 89132544.

The previous prime is 214013287. The next prime is 214013309. The reversal of 214013296 is 692310412.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 918396 + ... + 918628.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^214013296 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 214013296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

214013296 is an abundant number, since it is smaller than the sum of its proper divisors (273455504).

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

214013296 is a wasteful number, since it uses less digits than its factorization.

214013296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 214013296 is about 14629.1932791935. The cubic root of 214013296 is about 598.1547904124.

The spelling of 214013296 in words is "two hundred fourteen million, thirteen thousand, two hundred ninety-six".