829120 has 28 divisors (see below), whose sum is σ = 1975104. Its totient is φ = 331520.

The previous prime is 829111. The next prime is 829121. The reversal of 829120 is 21928.

829120 = 8² + 9² + ... + 135².

It is a junction number, because it is equal to n+sod(n) for n = 829091 and 829100.

It is not an unprimeable number, because it can be changed into a prime (829121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 976 + ... + 1615.

2⁸²⁹¹²⁰ is an apocalyptic number.

829120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829120 is an abundant number, since it is smaller than the sum of its proper divisors (1145984).

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

829120 is a wasteful number, since it uses less digits than its factorization.

829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 829120 is about 910.5602670883. The cubic root of 829120 is about 93.9447389090.

It can be divided in two parts, 829 and 120, that added together give a palindrome (949).

The spelling of 829120 in words is "eight hundred twenty-nine thousand, one hundred twenty".