10870080 has 168 divisors, whose sum is σ = 37929312. Its totient is φ = 2635776.

The previous prime is 10870073. The next prime is 10870091. The reversal of 10870080 is 8007801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10870080.

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 23 ways as a sum of consecutive naturals, for example, 162207 + ... + 162273.

Almost surely, 2^10870080 is an apocalyptic number.

10870080 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 10870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964656).

10870080 is an abundant number, since it is smaller than the sum of its proper divisors (27059232).

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

10870080 is a wasteful number, since it uses less digits than its factorization.

10870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10870080 is about 3296.9804367027. The cubic root of 10870080 is about 221.5189649272.

Adding to 10870080 its reverse (8007801), we get a palindrome (18877881).

The spelling of 10870080 in words is "ten million, eight hundred seventy thousand, eighty".