829401160 has 128 divisors (see below), whose sum is σ = 2302732800. Its totient is φ = 262563840.

The previous prime is 829401127. The next prime is 829401161. The reversal of 829401160 is 61104928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (829401161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184540 + ... + 188980.

It is an arithmetic number, because the mean of its divisors is an integer number (17990100).

Almost surely, 2^829401160 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 829401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151366400).

829401160 is an abundant number, since it is smaller than the sum of its proper divisors (1473331640).

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

829401160 is a wasteful number, since it uses less digits than its factorization.

829401160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 829401160 is about 28799.3256865504. The cubic root of 829401160 is about 939.5535680016.

It can be divided in two parts, 82940 and 1160, that added together give a square (84100 = 290²).

The spelling of 829401160 in words is "eight hundred twenty-nine million, four hundred one thousand, one hundred sixty".