1322333040 has 160 divisors (see below), whose sum is σ = 4773551616. Its totient is φ = 296524800.

The previous prime is 1322333027. The next prime is 1322333041. The reversal of 1322333040 is 403332231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1322332998 and 1322333016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322333041) 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, 81615 + ... + 96465.

Almost surely, 2^1322333040 is an apocalyptic number.

1322333040 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 1322333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386775808).

1322333040 is an abundant number, since it is smaller than the sum of its proper divisors (3451218576).

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

1322333040 is a wasteful number, since it uses less digits than its factorization.

1322333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14927 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 1322333040 is about 36363.8974808807. The cubic root of 1322333040 is about 1097.6072065234.

Adding to 1322333040 its reverse (403332231), we get a palindrome (1725665271).

The spelling of 1322333040 in words is "one billion, three hundred twenty-two million, three hundred thirty-three thousand, forty".