38566160 has 40 divisors (see below), whose sum is σ = 90094680. Its totient is φ = 15352832.

The previous prime is 38566159. The next prime is 38566163. The reversal of 38566160 is 6166583.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 38539264 = 164^2 + 6208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 38566160.

It is not an unprimeable number, because it can be changed into a prime (38566163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17606 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (2252367).

Almost surely, 2^38566160 is an apocalyptic number.

It is an amenable number.

38566160 is an abundant number, since it is smaller than the sum of its proper divisors (51528520).

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

38566160 is a wasteful number, since it uses less digits than its factorization.

38566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 38566160 is about 6210.1658592988. The cubic root of 38566160 is about 337.8589797208.

The spelling of 38566160 in words is "thirty-eight million, five hundred sixty-six thousand, one hundred sixty".