214142688 has 36 divisors (see below), whose sum is σ = 608969088. Its totient is φ = 71380800.

The previous prime is 214142629. The next prime is 214142723. The reversal of 214142688 is 886241412.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 371488 + ... + 372063.

It is an arithmetic number, because the mean of its divisors is an integer number (16915808).

Almost surely, 2^214142688 is an apocalyptic number.

It is an amenable number.

214142688 is an abundant number, since it is smaller than the sum of its proper divisors (394826400).

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

214142688 is a wasteful number, since it uses less digits than its factorization.

214142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743567 (or 743556 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 214142688 is about 14633.6150010857. The cubic root of 214142688 is about 598.2753138463.

The spelling of 214142688 in words is "two hundred fourteen million, one hundred forty-two thousand, six hundred eighty-eight".