821114496 has 96 divisors (see below), whose sum is σ = 2450448000. Its totient is φ = 273694464.

The previous prime is 821114479. The next prime is 821114533. The reversal of 821114496 is 694411128.

It is a tau number, because it is divible by the number of its divisors (96).

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 self number, because there is not a number n which added to its sum of digits gives 821114496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17905 + ... + 44303.

It is an arithmetic number, because the mean of its divisors is an integer number (25525500).

Almost surely, 2^821114496 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 821114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225224000).

821114496 is an abundant number, since it is smaller than the sum of its proper divisors (1629333504).

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

821114496 is an equidigital number, since it uses as much as digits as its factorization.

821114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26428 (or 26404 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 821114496 is about 28655.0954631109. The cubic root of 821114496 is about 936.4140180251.

The spelling of 821114496 in words is "eight hundred twenty-one million, one hundred fourteen thousand, four hundred ninety-six".