821714432 has 160 divisors (see below), whose sum is σ = 2156647680. Its totient is φ = 303022080.

The previous prime is 821714393. The next prime is 821714501. The reversal of 821714432 is 234417128.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748508 + ... + 749604.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2^821714432 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 821714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078323840).

821714432 is an abundant number, since it is smaller than the sum of its proper divisors (1334933248).

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

821714432 is a wasteful number, since it uses less digits than its factorization.

821714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 821714432 is about 28665.5617771569. The cubic root of 821714432 is about 936.6420218409.

The spelling of 821714432 in words is "eight hundred twenty-one million, seven hundred fourteen thousand, four hundred thirty-two".