214850688 has 128 divisors (see below), whose sum is σ = 620551680. Its totient is φ = 65470464.

The previous prime is 214850681. The next prime is 214850693. The reversal of 214850688 is 886058412.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (214850681) 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, 963345 + ... + 963567.

It is an arithmetic number, because the mean of its divisors is an integer number (4848060).

Almost surely, 2^214850688 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 214850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310275840).

214850688 is an abundant number, since it is smaller than the sum of its proper divisors (405700992).

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

214850688 is a wasteful number, since it uses less digits than its factorization.

214850688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 214850688 is about 14657.7859173888. The cubic root of 214850688 is about 598.9339291657.

The spelling of 214850688 in words is "two hundred fourteen million, eight hundred fifty thousand, six hundred eighty-eight".