829526016 has 312 divisors, whose sum is σ = 2696346144. Its totient is φ = 224133120.

The previous prime is 829526003. The next prime is 829526021. The reversal of 829526016 is 610625928.

It is a super-2 number, since 2×829526016² = 1376226822441664512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43659255 + ... + 43659273.

Almost surely, 2^829526016 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 829526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348173072).

829526016 is an abundant number, since it is smaller than the sum of its proper divisors (1866820128).

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

829526016 is a wasteful number, since it uses less digits than its factorization.

829526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 829526016 is about 28801.4932946193. The cubic root of 829526016 is about 939.6007116598.

The spelling of 829526016 in words is "eight hundred twenty-nine million, five hundred twenty-six thousand, sixteen".