824328960 has 432 divisors, whose sum is σ = 3307895136. Its totient is φ = 173408256.

The previous prime is 824328937. The next prime is 824328977. The reversal of 824328960 is 69823428.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445912 + ... + 2446248.

Almost surely, 2^824328960 is an apocalyptic number.

824328960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653947568).

824328960 is an abundant number, since it is smaller than the sum of its proper divisors (2483566176).

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

824328960 is a wasteful number, since it uses less digits than its factorization.

824328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 824328960 is about 28711.1295493577. The cubic root of 824328960 is about 937.6343714952.

The spelling of 824328960 in words is "eight hundred twenty-four million, three hundred twenty-eight thousand, nine hundred sixty".