238665312 has 96 divisors (see below), whose sum is σ = 737100000. Its totient is φ = 74870784.

The previous prime is 238665283. The next prime is 238665313. The reversal of 238665312 is 213566832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×238665312² = 113922262304114688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238665313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6564 + ... + 22812.

It is an arithmetic number, because the mean of its divisors is an integer number (7678125).

Almost surely, 2^238665312 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 238665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368550000).

238665312 is an abundant number, since it is smaller than the sum of its proper divisors (498434688).

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

238665312 is a wasteful number, since it uses less digits than its factorization.

238665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16285 (or 16271 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 238665312 is about 15448.7964579769. The cubic root of 238665312 is about 620.2923629808.

The spelling of 238665312 in words is "two hundred thirty-eight million, six hundred sixty-five thousand, three hundred twelve".