824580228096 has 231 divisors, whose sum is σ = 2473755958263. Its totient is φ = 274598553600.

The previous prime is 824580228067. The next prime is 824580228097. The reversal of 824580228096 is 690822085428.

It is a happy number.

The square root of 824580228096 is 908064.

It is a perfect power (a square), and thus also a powerful number.

824580228096 is a `hidden beast` number, since 8 + 2 + 458 + 0 + 22 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (824580228097) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 784566771 + ... + 784567821.

Almost surely, 2^824580228096 is an apocalyptic number.

824580228096 is the 908064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824580228096

824580228096 is an abundant number, since it is smaller than the sum of its proper divisors (1649175730167).

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

824580228096 is an frugal number, since it uses more digits than its factorization.

824580228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

It can be divided in two parts, 824580 and 228096, that added together give a square (1052676 = 1026²).

The spelling of 824580228096 in words is "eight hundred twenty-four billion, five hundred eighty million, two hundred twenty-eight thousand, ninety-six".