1322957664 has 144 divisors (see below), whose sum is σ = 4488750000. Its totient is φ = 377975808.

The previous prime is 1322957653. The next prime is 1322957693. The reversal of 1322957664 is 4667592231.

1322957664 is a `hidden beast` number, since 13 + 2 + 2 + 9 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26712 + ... + 57960.

It is an arithmetic number, because the mean of its divisors is an integer number (31171875).

Almost surely, 2^1322957664 is an apocalyptic number.

1322957664 is a gapful number since it is divisible by the number (14) 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 1322957664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244375000).

1322957664 is an abundant number, since it is smaller than the sum of its proper divisors (3165792336).

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

1322957664 is a wasteful number, since it uses less digits than its factorization.

1322957664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31282 (or 31261 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1322957664 is about 36372.4849852193. The cubic root of 1322957664 is about 1097.7800031037.

The spelling of 1322957664 in words is "one billion, three hundred twenty-two million, nine hundred fifty-seven thousand, six hundred sixty-four".