10656090 has 64 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 2790720.

The previous prime is 10656067. The next prime is 10656097. The reversal of 10656090 is 9065601.

10656090 is a `hidden beast` number, since 1 + 0 + 656 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×10656090² = 227104508176200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10656097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16147 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 2^10656090 is an apocalyptic number.

10656090 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 10656090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

10656090 is an abundant number, since it is smaller than the sum of its proper divisors (18270630).

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

10656090 is a wasteful number, since it uses less digits than its factorization.

10656090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10656090 is about 3264.3667073416. The cubic root of 10656090 is about 220.0557021489.

It can be divided in two parts, 10 and 656090, that added together give a square (656100 = 810²).

The spelling of 10656090 in words is "ten million, six hundred fifty-six thousand, ninety".