238961664 has 220 divisors, whose sum is σ = 741079504. Its totient is φ = 76640256.

The previous prime is 238961659. The next prime is 238961687. The reversal of 238961664 is 466169832.

238961664 is a `hidden beast` number, since 23 + 8 + 9 + 616 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3566559 + ... + 3566625.

Almost surely, 2^238961664 is an apocalyptic number.

238961664 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 238961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370539752).

238961664 is an abundant number, since it is smaller than the sum of its proper divisors (502117840).

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

238961664 is an equidigital number, since it uses as much as digits as its factorization.

238961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 238961664 is about 15458.3849091682. The cubic root of 238961664 is about 620.5489969086.

The spelling of 238961664 in words is "two hundred thirty-eight million, nine hundred sixty-one thousand, six hundred sixty-four".