238667560 has 64 divisors (see below), whose sum is σ = 553165200. Its totient is φ = 92620800.

The previous prime is 238667521. The next prime is 238667591. The reversal of 238667560 is 65766832.

238667560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 235376964 = 1814^2 + 15342^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440890 + ... + 441430.

Almost surely, 2^238667560 is an apocalyptic number.

238667560 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 238667560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276582600).

238667560 is an abundant number, since it is smaller than the sum of its proper divisors (314497640).

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

238667560 is a wasteful number, since it uses less digits than its factorization.

238667560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 238667560 is about 15448.8692142823. The cubic root of 238667560 is about 620.2943104958.

The spelling of 238667560 in words is "two hundred thirty-eight million, six hundred sixty-seven thousand, five hundred sixty".