10375080 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2676480.

The previous prime is 10375067. The next prime is 10375097. The reversal of 10375080 is 8057301.

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 10375080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 2^10375080 is an apocalyptic number.

10375080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10375080 is the 1860-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

10375080 is an abundant number, since it is smaller than the sum of its proper divisors (21765720).

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

10375080 is a wasteful number, since it uses less digits than its factorization.

10375080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10375080 is about 3221.0371000658. The cubic root of 10375080 is about 218.1040941587.

The spelling of 10375080 in words is "ten million, three hundred seventy-five thousand, eighty".