10523820 has 48 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 2740416.

The previous prime is 10523813. The next prime is 10523837. The reversal of 10523820 is 2832501.

It is a super-2 number, since 2×10523820² = 221501574784800, which contains 22 as substring.

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, 541 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 2^10523820 is an apocalyptic number.

10523820 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 10523820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

10523820 is an abundant number, since it is smaller than the sum of its proper divisors (19635540).

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

10523820 is a wasteful number, since it uses less digits than its factorization.

10523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10523820 is about 3244.0437728243. The cubic root of 10523820 is about 219.1414194694.

The spelling of 10523820 in words is "ten million, five hundred twenty-three thousand, eight hundred twenty".