10853640 has 192 divisors, whose sum is σ = 41558400. Its totient is φ = 2405376.

The previous prime is 10853611. The next prime is 10853641. The reversal of 10853640 is 4635801.

10853640 is a `hidden beast` number, since 10 + 8 + 5 + 3 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10853641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148644 + ... + 148716.

It is an arithmetic number, because the mean of its divisors is an integer number (216450).

Almost surely, 2^10853640 is an apocalyptic number.

10853640 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 10853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779200).

10853640 is an abundant number, since it is smaller than the sum of its proper divisors (30704760).

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

10853640 is a wasteful number, since it uses less digits than its factorization.

10853640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10853640 is about 3294.4863029007. The cubic root of 10853640 is about 221.4072328677.

The spelling of 10853640 in words is "ten million, eight hundred fifty-three thousand, six hundred forty".