238689216 has 168 divisors, whose sum is σ = 732251520. Its totient is φ = 74156544.

The previous prime is 238689137. The next prime is 238689221. The reversal of 238689216 is 612986832.

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 23 ways as a sum of consecutive naturals, for example, 569455 + ... + 569873.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^238689216 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 238689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

238689216 is an abundant number, since it is smaller than the sum of its proper divisors (493562304).

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

238689216 is a wasteful number, since it uses less digits than its factorization.

238689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 238689216 is about 15449.5700911061. The cubic root of 238689216 is about 620.3130711621.

The spelling of 238689216 in words is "two hundred thirty-eight million, six hundred eighty-nine thousand, two hundred sixteen".