1016080 has 40 divisors (see below), whose sum is σ = 2546712. Its totient is φ = 374784.

The previous prime is 1016069. The next prime is 1016083. The reversal of 1016080 is 806101.

1016080 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 868624 = 384^2 + 932^2 .

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 (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1016083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 1528.

2^1016080 is an apocalyptic number.

1016080 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 1016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273356).

1016080 is an abundant number, since it is smaller than the sum of its proper divisors (1530632).

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

1016080 is a wasteful number, since it uses less digits than its factorization.

1016080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1016080 is about 1008.0079364767. The cubic root of 1016080 is about 100.5331524332.

Subtracting from 1016080 its sum of digits (16), we obtain a square (1016064 = 1008²).

The spelling of 1016080 in words is "one million, sixteen thousand, eighty".