1322145792 has 144 divisors (see below), whose sum is σ = 4166384040. Its totient is φ = 400588800.

The previous prime is 1322145787. The next prime is 1322145833. The reversal of 1322145792 is 2975412231.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199492 + ... + 206012.

Almost surely, 2^1322145792 is an apocalyptic number.

1322145792 is a gapful number since it is divisible by the number (12) 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 1322145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083192020).

1322145792 is an abundant number, since it is smaller than the sum of its proper divisors (2844238248).

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

1322145792 is a wasteful number, since it uses less digits than its factorization.

1322145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6537 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1322145792 is about 36361.3227482170. The cubic root of 1322145792 is about 1097.5553954567. Note that the first 3 decimals are identical.

The spelling of 1322145792 in words is "one billion, three hundred twenty-two million, one hundred forty-five thousand, seven hundred ninety-two".