38590160 has 80 divisors (see below), whose sum is σ = 103493376. Its totient is φ = 13108224.

The previous prime is 38590147. The next prime is 38590169. The reversal of 38590160 is 6109583.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38590169) 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, 76469 + ... + 76971.

Almost surely, 2^38590160 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 38590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51746688).

38590160 is an abundant number, since it is smaller than the sum of its proper divisors (64903216).

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

38590160 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (38590159) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (654).

38590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 38590160 is about 6212.0978743095. The cubic root of 38590160 is about 337.9290492159.

The spelling of 38590160 in words is "thirty-eight million, five hundred ninety thousand, one hundred sixty".