1006080 has 80 divisors (see below), whose sum is σ = 3240864. Its totient is φ = 266240.

The previous prime is 1006063. The next prime is 1006087. The reversal of 1006080 is 806001.

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

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006087) 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, 7615 + ... + 7745.

2^1006080 is an apocalyptic number.

1006080 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 1006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432).

1006080 is an abundant number, since it is smaller than the sum of its proper divisors (2234784).

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

1006080 is an equidigital number, since it uses as much as digits as its factorization.

1006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1006080 is about 1003.0353931941. The cubic root of 1006080 is about 100.2022573107.

The spelling of 1006080 in words is "one million, six thousand, eighty".