214034688 has 216 divisors, whose sum is σ = 737213568. Its totient is φ = 58392576.

The previous prime is 214034687. The next prime is 214034707. The reversal of 214034688 is 886430412.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (214034687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370656 + ... + 371232.

Almost surely, 2^214034688 is an apocalyptic number.

214034688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368606784).

214034688 is an abundant number, since it is smaller than the sum of its proper divisors (523178880).

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

214034688 is a wasteful number, since it uses less digits than its factorization.

214034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214034688 is about 14629.9244017186. The cubic root of 214034688 is about 598.1747195495.

The spelling of 214034688 in words is "two hundred fourteen million, thirty-four thousand, six hundred eighty-eight".