238880160 has 144 divisors (see below), whose sum is σ = 858180960. Its totient is φ = 60341760.

The previous prime is 238880137. The next prime is 238880167. The reversal of 238880160 is 61088832.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×238880160³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (238880167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22995 + ... + 31725.

It is an arithmetic number, because the mean of its divisors is an integer number (5959590).

Almost surely, 2^238880160 is an apocalyptic number.

238880160 is a gapful number since it is divisible by the number (20) 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 238880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429090480).

238880160 is an abundant number, since it is smaller than the sum of its proper divisors (619300800).

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

238880160 is a wasteful number, since it uses less digits than its factorization.

238880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 238880160 is about 15455.7484451579. The cubic root of 238880160 is about 620.4784375060.

The spelling of 238880160 in words is "two hundred thirty-eight million, eight hundred eighty thousand, one hundred sixty".