238678560 has 72 divisors (see below), whose sum is σ = 814495500. Its totient is φ = 63647232.

The previous prime is 238678553. The next prime is 238678591. The reversal of 238678560 is 65876832.

238678560 is a `hidden beast` number, since 2 + 3 + 86 + 7 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218211984 + 20466576 = 14772^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81435 + ... + 84314.

Almost surely, 2^238678560 is an apocalyptic number.

238678560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238678560 is an abundant number, since it is smaller than the sum of its proper divisors (575816940).

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

238678560 is a wasteful number, since it uses less digits than its factorization.

238678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165770 (or 165759 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 238678560 is about 15449.2252232919. The cubic root of 238678560 is about 620.3038399749.

The spelling of 238678560 in words is "two hundred thirty-eight million, six hundred seventy-eight thousand, five hundred sixty".