821514096 has 160 divisors (see below), whose sum is σ = 2673440000. Its totient is φ = 239438592.

The previous prime is 821514073. The next prime is 821514107. The reversal of 821514096 is 690415128.

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

It is a self number, because there is not a number n which added to its sum of digits gives 821514096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102855 + ... + 110553.

It is an arithmetic number, because the mean of its divisors is an integer number (16709000).

Almost surely, 2^821514096 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 821514096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336720000).

821514096 is an abundant number, since it is smaller than the sum of its proper divisors (1851925904).

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

821514096 is a wasteful number, since it uses less digits than its factorization.

821514096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 821514096 is about 28662.0671969068. The cubic root of 821514096 is about 936.5658971110.

The spelling of 821514096 in words is "eight hundred twenty-one million, five hundred fourteen thousand, ninety-six".