829945116 has 288 divisors, whose sum is σ = 2924533248. Its totient is φ = 198754560.

The previous prime is 829945093. The next prime is 829945139. The reversal of 829945116 is 611549928.

It is an interprime number because it is at equal distance from previous prime (829945093) and next prime (829945139).

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, 972546 + ... + 973398.

Almost surely, 2^829945116 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 829945116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462266624).

829945116 is an abundant number, since it is smaller than the sum of its proper divisors (2094588132).

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

829945116 is a wasteful number, since it uses less digits than its factorization.

829945116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 829945116 is about 28808.7680403033. The cubic root of 829945116 is about 939.7589226348.

The spelling of 829945116 in words is "eight hundred twenty-nine million, nine hundred forty-five thousand, one hundred sixteen".