10075806 has 64 divisors (see below), whose sum is σ = 24944640. Its totient is φ = 2993760.

The previous prime is 10075787. The next prime is 10075829. The reversal of 10075806 is 60857001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10075806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21531 + ... + 21993.

It is an arithmetic number, because the mean of its divisors is an integer number (389760).

Almost surely, 2^10075806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472320).

10075806 is an abundant number, since it is smaller than the sum of its proper divisors (14868834).

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

10075806 is a wasteful number, since it uses less digits than its factorization.

10075806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10075806 is about 3174.2410116436. The cubic root of 10075806 is about 215.9864960694.

The spelling of 10075806 in words is "ten million, seventy-five thousand, eight hundred six".