1321825824 has 192 divisors, whose sum is σ = 4389396480. Its totient is φ = 383074560.

The previous prime is 1321825823. The next prime is 1321825873. The reversal of 1321825824 is 4285281231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321825823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215569 + ... + 221615.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^1321825824 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 1321825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

1321825824 is an abundant number, since it is smaller than the sum of its proper divisors (3067570656).

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

1321825824 is a wasteful number, since it uses less digits than its factorization.

1321825824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6086 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1321825824 is about 36356.9226420499. The cubic root of 1321825824 is about 1097.4668497657.

The spelling of 1321825824 in words is "one billion, three hundred twenty-one million, eight hundred twenty-five thousand, eight hundred twenty-four".