238097664 has 432 divisors, whose sum is σ = 885460800. Its totient is φ = 62705664.

The previous prime is 238097663. The next prime is 238097669. The reversal of 238097664 is 466790832.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238097663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6435054 + ... + 6435090.

Almost surely, 2^238097664 is an apocalyptic number.

238097664 is a gapful number since it is divisible by the number (24) 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 238097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442730400).

238097664 is an abundant number, since it is smaller than the sum of its proper divisors (647363136).

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

238097664 is a wasteful number, since it uses less digits than its factorization.

238097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 238097664 is about 15430.4136043076. The cubic root of 238097664 is about 619.8001992336.

The spelling of 238097664 in words is "two hundred thirty-eight million, ninety-seven thousand, six hundred sixty-four".