214716672 has 108 divisors (see below), whose sum is σ = 634459644. Its totient is φ = 69795840.

The previous prime is 214716659. The next prime is 214716679. The reversal of 214716672 is 276617412.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 119771136 = 9744^2 + 10944^2 .

It is a super-2 number, since 2×214716672² = 92206498469511168, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214716679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93328 + ... + 95600.

Almost surely, 2^214716672 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 214716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317229822).

214716672 is an abundant number, since it is smaller than the sum of its proper divisors (419742972).

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

214716672 is a wasteful number, since it uses less digits than its factorization.

214716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2319 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 214716672 is about 14653.2137089445. The cubic root of 214716672 is about 598.8093722387.

The spelling of 214716672 in words is "two hundred fourteen million, seven hundred sixteen thousand, six hundred seventy-two".