832021632 has 160 divisors (see below), whose sum is σ = 2666982780. Its totient is φ = 255965184.

The previous prime is 832021607. The next prime is 832021643. The reversal of 832021632 is 236120238.

832021632 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 21 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 609892416 + 222129216 = 24696^2 + 14904^2 .

It is a super-2 number, since 2×832021632² = 1384519992231886848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 832021596 and 832021605.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131698 + ... + 137870.

Almost surely, 2^832021632 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 832021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333491390).

832021632 is an abundant number, since it is smaller than the sum of its proper divisors (1834961148).

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

832021632 is a wasteful number, since it uses less digits than its factorization.

832021632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 832021632 is about 28844.7851786072. The cubic root of 832021632 is about 940.5420263112.

The spelling of 832021632 in words is "eight hundred thirty-two million, twenty-one thousand, six hundred thirty-two".