10712790 has 64 divisors (see below), whose sum is σ = 31173120. Its totient is φ = 2596320.

The previous prime is 10712773. The next prime is 10712791. The reversal of 10712790 is 9721701.

It is a super-2 number, since 2×10712790² = 229527739168200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167 + ... + 4773.

It is an arithmetic number, because the mean of its divisors is an integer number (487080).

Almost surely, 2^10712790 is an apocalyptic number.

10712790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586560).

10712790 is an abundant number, since it is smaller than the sum of its proper divisors (20460330).

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

10712790 is a wasteful number, since it uses less digits than its factorization.

10712790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10712790 is about 3273.0398714345. The cubic root of 10712790 is about 220.4453101443.

The spelling of 10712790 in words is "ten million, seven hundred twelve thousand, seven hundred ninety".