10755520 has 112 divisors (see below), whose sum is σ = 28346400. Its totient is φ = 3870720.

The previous prime is 10755517. The next prime is 10755553. The reversal of 10755520 is 2555701.

10755520 = T₂₆₁ + T₂₆₂ + ... + T₄₃₄.

It is a happy number.

It is a congruent number.

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, 176290 + ... + 176350.

Almost surely, 2^10755520 is an apocalyptic number.

10755520 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 10755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173200).

10755520 is an abundant number, since it is smaller than the sum of its proper divisors (17590880).

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

10755520 is a wasteful number, since it uses less digits than its factorization.

10755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 10755520 is about 3279.5609462244. The cubic root of 10755520 is about 220.7380173285.

The spelling of 10755520 in words is "ten million, seven hundred fifty-five thousand, five hundred twenty".