10406656 has 72 divisors (see below), whose sum is σ = 23178960. Its totient is φ = 4632576.

The previous prime is 10406651. The next prime is 10406689. The reversal of 10406656 is 65660401.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176355 + ... + 176413.

It is an arithmetic number, because the mean of its divisors is an integer number (321930).

Almost surely, 2^10406656 is an apocalyptic number.

10406656 is a gapful number since it is divisible by the number (16) 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 10406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589480).

10406656 is an abundant number, since it is smaller than the sum of its proper divisors (12772304).

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

10406656 is an equidigital number, since it uses as much as digits as its factorization.

10406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10406656 is about 3225.9349032490. The cubic root of 10406656 is about 218.3251327780.

The spelling of 10406656 in words is "ten million, four hundred six thousand, six hundred fifty-six".