1038160 has 40 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 392832.

The previous prime is 1038157. The next prime is 1038187. The reversal of 1038160 is 618301.

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

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179 + ... + 1861.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^1038160 is an apocalyptic number.

1038160 is a gapful number since it is divisible by the number (10) 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 1038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

1038160 is an abundant number, since it is smaller than the sum of its proper divisors (1506320).

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

1038160 is a wasteful number, since it uses less digits than its factorization.

1038160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1038160 is about 1018.9013691226. The cubic root of 1038160 is about 101.2561546835.

The spelling of 1038160 in words is "one million, thirty-eight thousand, one hundred sixty".