10855680 has 144 divisors (see below), whose sum is σ = 37969344. Its totient is φ = 2621440.

The previous prime is 10855679. The next prime is 10855681. The reversal of 10855680 is 8655801.

It is an interprime number because it is at equal distance from previous prime (10855679) and next prime (10855681).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10855681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42112 + ... + 42368.

It is an arithmetic number, because the mean of its divisors is an integer number (263676).

Almost surely, 2^10855680 is an apocalyptic number.

10855680 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 10855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18984672).

10855680 is an abundant number, since it is smaller than the sum of its proper divisors (27113664).

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

10855680 is a wasteful number, since it uses less digits than its factorization.

10855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 10855680 is about 3294.7958965617. The cubic root of 10855680 is about 221.4211035587.

The spelling of 10855680 in words is "ten million, eight hundred fifty-five thousand, six hundred eighty".