10406760 has 128 divisors (see below), whose sum is σ = 38465280. Its totient is φ = 2193408.

The previous prime is 10406729. The next prime is 10406779. The reversal of 10406760 is 6760401.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10406760.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10444 + ... + 11396.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 2^10406760 is an apocalyptic number.

10406760 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 10406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640).

10406760 is an abundant number, since it is smaller than the sum of its proper divisors (28058520).

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

10406760 is a wasteful number, since it uses less digits than its factorization.

10406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10406760 is about 3225.9510225668. The cubic root of 10406760 is about 218.3258600606.

The spelling of 10406760 in words is "ten million, four hundred six thousand, seven hundred sixty".