832424832 has 192 divisors, whose sum is σ = 2534781600. Its totient is φ = 261685248.

The previous prime is 832424821. The next prime is 832424843. The reversal of 832424832 is 238424238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (832424821) and next prime (832424843).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×832424832² = 1385862201860456448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 2357968 + ... + 2358320.

Almost surely, 2^832424832 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 832424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267390800).

832424832 is an abundant number, since it is smaller than the sum of its proper divisors (1702356768).

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

832424832 is a wasteful number, since it uses less digits than its factorization.

832424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 832424832 is about 28851.7734636885. The cubic root of 832424832 is about 940.6939315378.

The spelling of 832424832 in words is "eight hundred thirty-two million, four hundred twenty-four thousand, eight hundred thirty-two".