216034000 has 160 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 68313600.

The previous prime is 216033997. The next prime is 216034003. The reversal of 216034000 is 430612.

It is an interprime number because it is at equal distance from previous prime (216033997) and next prime (216034003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181407 + ... + 182593.

Almost surely, 2^216034000 is an apocalyptic number.

216034000 is a gapful number since it is divisible by the number (20) 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 216034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

216034000 is an abundant number, since it is smaller than the sum of its proper divisors (427424816).

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

216034000 is a wasteful number, since it uses less digits than its factorization.

216034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 216034000 is about 14698.0951146739. The cubic root of 216034000 is about 600.0314798298.

Adding to 216034000 its reverse (430612), we get a palindrome (216464612).

The spelling of 216034000 in words is "two hundred sixteen million, thirty-four thousand".