10838520 has 384 divisors, whose sum is σ = 48522240. Its totient is φ = 2027520.

The previous prime is 10838519. The next prime is 10838533. The reversal of 10838520 is 2583801.

It is a happy number.

10838520 is a `hidden beast` number, since 108 + 38 + 520 = 666.

10838520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471229 + ... + 471251.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 2^10838520 is an apocalyptic number.

10838520 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 10838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

10838520 is an abundant number, since it is smaller than the sum of its proper divisors (37683720).

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

10838520 is a wasteful number, since it uses less digits than its factorization.

10838520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10838520 is about 3292.1907599652. The cubic root of 10838520 is about 221.3043723498.

The spelling of 10838520 in words is "ten million, eight hundred thirty-eight thousand, five hundred twenty".