10859940 has 288 divisors, whose sum is σ = 44271360. Its totient is φ = 2156544.

The previous prime is 10859939. The next prime is 10859987. The reversal of 10859940 is 4995801.

10859940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10859895 and 10859904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638812 + ... + 638828.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^10859940 is an apocalyptic number.

10859940 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 10859940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

10859940 is an abundant number, since it is smaller than the sum of its proper divisors (33411420).

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

10859940 is a wasteful number, since it uses less digits than its factorization.

10859940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10859940 is about 3295.4423071873. The cubic root of 10859940 is about 221.4500632229.

It can be divided in two parts, 1085 and 9940, that added together give a square (11025 = 105²).

The spelling of 10859940 in words is "ten million, eight hundred fifty-nine thousand, nine hundred forty".