38066560 has 128 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 12558336.

The previous prime is 38066551. The next prime is 38066563. The reversal of 38066560 is 6566083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38066563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129774 + ... + 130066.

Almost surely, 2^38066560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

38066560 is an abundant number, since it is smaller than the sum of its proper divisors (69890240).

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

38066560 is a wasteful number, since it uses less digits than its factorization.

38066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 38066560 is about 6169.8103698574. The cubic root of 38066560 is about 336.3937183623.

The spelling of 38066560 in words is "thirty-eight million, sixty-six thousand, five hundred sixty".