829540 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 300672.

The previous prime is 829537. The next prime is 829547. The reversal of 829540 is 45928.

It is a happy number.

It is a super-2 number, since 2×829540² = 1376273223200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 829499 and 829508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14031 + ... + 14089.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁸²⁹⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

829540 is an abundant number, since it is smaller than the sum of its proper divisors (1085660).

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

829540 is a wasteful number, since it uses less digits than its factorization.

829540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 829540 is about 910.7908651277. The cubic root of 829540 is about 93.9605991503.

It can be divided in two parts, 829 and 540, that added together give a square (1369 = 37²).

The spelling of 829540 in words is "eight hundred twenty-nine thousand, five hundred forty".