10400080 has 40 divisors (see below), whose sum is σ = 24534144. Its totient is φ = 4099200.

The previous prime is 10400077. The next prime is 10400123. The reversal of 10400080 is 8000401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10400080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4765 + ... + 6595.

Almost surely, 2^10400080 is an apocalyptic number.

10400080 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 10400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267072).

10400080 is an abundant number, since it is smaller than the sum of its proper divisors (14134064).

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

10400080 is a wasteful number, since it uses less digits than its factorization.

10400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10400080 is about 3224.9155027690. The cubic root of 10400080 is about 218.2791362994.

Adding to 10400080 its reverse (8000401), we get a palindrome (18400481).

The spelling of 10400080 in words is "ten million, four hundred thousand, eighty".