1036080 has 60 divisors (see below), whose sum is σ = 3481920. Its totient is φ = 276096.

The previous prime is 1036073. The next prime is 1036093. The reversal of 1036080 is 806301.

1036080 is a nontrivial binomial coefficient, being equal to C(1440, 2).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1036080³ = 3336576800795136000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^1036080 is an apocalyptic number.

1036080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1036080 is the 1439-th triangular number and also the 720-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960).

1036080 is an abundant number, since it is smaller than the sum of its proper divisors (2445840).

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

1036080 is a wasteful number, since it uses less digits than its factorization.

1036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1036080 is about 1017.8801501159. The cubic root of 1036080 is about 101.1884857257.

It can be divided in two parts, 10360 and 80, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 1036080 in words is "one million, thirty-six thousand, eighty".