10945620 has 216 divisors, whose sum is σ = 41454504. Its totient is φ = 2322432.

The previous prime is 10945567. The next prime is 10945633. The reversal of 10945620 is 2654901.

10945620 is a `hidden beast` number, since 10 + 94 + 562 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 8398404 = 1596^2 + 2898^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149904 + ... + 149976.

It is an arithmetic number, because the mean of its divisors is an integer number (191919).

Almost surely, 2^10945620 is an apocalyptic number.

10945620 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 10945620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727252).

10945620 is an abundant number, since it is smaller than the sum of its proper divisors (30508884).

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

10945620 is a wasteful number, since it uses less digits than its factorization.

10945620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10945620 is about 3308.4165396757. The cubic root of 10945620 is about 222.0309185084.

The spelling of 10945620 in words is "ten million, nine hundred forty-five thousand, six hundred twenty".