10754820 has 72 divisors (see below), whose sum is σ = 32923800. Its totient is φ = 2841600.

The previous prime is 10754819. The next prime is 10754831. The reversal of 10754820 is 2845701.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 8749764 = 1416^2 + 2958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26620 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (457275).

Almost surely, 2^10754820 is an apocalyptic number.

10754820 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 10754820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461900).

10754820 is an abundant number, since it is smaller than the sum of its proper divisors (22168980).

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

10754820 is a wasteful number, since it uses less digits than its factorization.

10754820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10754820 is about 3279.4542228853. The cubic root of 10754820 is about 220.7332284708.

The spelling of 10754820 in words is "ten million, seven hundred fifty-four thousand, eight hundred twenty".