10504080 has 100 divisors (see below), whose sum is σ = 36504732. Its totient is φ = 2799360.

The previous prime is 10504073. The next prime is 10504097. The reversal of 10504080 is 8040501.

It is a Cunningham number, because it is equal to 3241²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 4511376 = 2448^2 + 2124^2 .

It is a super-2 number, since 2×10504080² = 220671393292800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5670 + ... + 7290.

Almost surely, 2^10504080 is an apocalyptic number.

10504080 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 10504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18252366).

10504080 is an abundant number, since it is smaller than the sum of its proper divisors (26000652).

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

10504080 is a wasteful number, since it uses less digits than its factorization.

10504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10504080 is about 3240.9998457266. Note that the first 3 decimals coincide. The cubic root of 10504080 is about 219.0043159217.

Adding to 10504080 its reverse (8040501), we get a palindrome (18544581).

The spelling of 10504080 in words is "ten million, five hundred four thousand, eighty".