816529032 has 128 divisors (see below), whose sum is σ = 2483395200. Its totient is φ = 246528000.

The previous prime is 816529031. The next prime is 816529081. The reversal of 816529032 is 230925618.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (816529031) 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, 952348 + ... + 953204.

It is an arithmetic number, because the mean of its divisors is an integer number (19401525).

Almost surely, 2^816529032 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 816529032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241697600).

816529032 is an abundant number, since it is smaller than the sum of its proper divisors (1666866168).

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

816529032 is a wasteful number, since it uses less digits than its factorization.

816529032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 816529032 is about 28574.9721259707. The cubic root of 816529032 is about 934.6676474216.

The spelling of 816529032 in words is "eight hundred sixteen million, five hundred twenty-nine thousand, thirty-two".