829812060 has 288 divisors, whose sum is σ = 3277290240. Its totient is φ = 172368000.

The previous prime is 829812029. The next prime is 829812083. The reversal of 829812060 is 60218928.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 289635 + ... + 292485.

It is an arithmetic number, because the mean of its divisors is an integer number (11379480).

Almost surely, 2^829812060 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 829812060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638645120).

829812060 is an abundant number, since it is smaller than the sum of its proper divisors (2447478180).

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

829812060 is a wasteful number, since it uses less digits than its factorization.

829812060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 829812060 is about 28806.4586507957. The cubic root of 829812060 is about 939.7086995363.

The spelling of 829812060 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, sixty".