10955520 has 144 divisors (see below), whose sum is σ = 38999520. Its totient is φ = 2912256.

The previous prime is 10955509. The next prime is 10955543. The reversal of 10955520 is 2555901.

10955520 is a `hidden beast` number, since 109 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34402 + ... + 34718.

It is an arithmetic number, because the mean of its divisors is an integer number (270830).

Almost surely, 2^10955520 is an apocalyptic number.

10955520 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 10955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499760).

10955520 is an abundant number, since it is smaller than the sum of its proper divisors (28044000).

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

10955520 is an equidigital number, since it uses as much as digits as its factorization.

10955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 10955520 is about 3309.9123855474. The cubic root of 10955520 is about 222.0978385403.

The spelling of 10955520 in words is "ten million, nine hundred fifty-five thousand, five hundred twenty".