10829520 has 180 divisors, whose sum is σ = 39824460. Its totient is φ = 2635776.

The previous prime is 10829519. The next prime is 10829521. The reversal of 10829520 is 2592801.

10829520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10829519) and next prime (10829521).

It can be written as a sum of positive squares in 6 ways, for example, as 3732624 + 7096896 = 1932^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121636 + ... + 121724.

It is an arithmetic number, because the mean of its divisors is an integer number (221247).

Almost surely, 2^10829520 is an apocalyptic number.

10829520 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 10829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912230).

10829520 is an abundant number, since it is smaller than the sum of its proper divisors (28994940).

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

10829520 is a wasteful number, since it uses less digits than its factorization.

10829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10829520 is about 3290.8236051177. The cubic root of 10829520 is about 221.2431004264.

The spelling of 10829520 in words is "ten million, eight hundred twenty-nine thousand, five hundred twenty".