1232824320 has 768 divisors, whose sum is σ = 5503680000. Its totient is φ = 260112384.

The previous prime is 1232824279. The next prime is 1232824339. The reversal of 1232824320 is 234282321.

1232824320 is a `hidden beast` number, since 12 + 328 + 2 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94832634 + ... + 94832646.

It is an arithmetic number, because the mean of its divisors is an integer number (7166250).

Almost surely, 2^1232824320 is an apocalyptic number.

1232824320 is a gapful number since it is divisible by the number (10) 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 1232824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840000).

1232824320 is an abundant number, since it is smaller than the sum of its proper divisors (4270855680).

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

1232824320 is an equidigital number, since it uses as much as digits as its factorization.

1232824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1232824320 is about 35111.5980838241. The cubic root of 1232824320 is about 1072.2607222085.

The spelling of 1232824320 in words is "one billion, two hundred thirty-two million, eight hundred twenty-four thousand, three hundred twenty".