10885644 has 216 divisors, whose sum is σ = 38208240. Its totient is φ = 2661120.

The previous prime is 10885621. The next prime is 10885657. The reversal of 10885644 is 44658801.

10885644 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 5 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10885599 and 10885608.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640324 + ... + 640340.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 2^10885644 is an apocalyptic number.

10885644 is a gapful number since it is divisible by the number (14) 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 10885644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104120).

10885644 is an abundant number, since it is smaller than the sum of its proper divisors (27322596).

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

10885644 is a wasteful number, since it uses less digits than its factorization.

10885644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 10885644 is about 3299.3399339868. The cubic root of 10885644 is about 221.6246396162.

It can be divided in two parts, 108856 and 44, that added together give a square (108900 = 330²).

The spelling of 10885644 in words is "ten million, eight hundred eighty-five thousand, six hundred forty-four".