1322972640 has 360 divisors, whose sum is σ = 5232879288. Its totient is φ = 301854720.

The previous prime is 1322972611. The next prime is 1322972659. The reversal of 1322972640 is 462792231.

1322972640 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 9 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1322972595 and 1322972604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77821912 + ... + 77821928.

Almost surely, 2^1322972640 is an apocalyptic number.

1322972640 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 1322972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616439644).

1322972640 is an abundant number, since it is smaller than the sum of its proper divisors (3909906648).

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

1322972640 is an equidigital number, since it uses as much as digits as its factorization.

1322972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1322972640 is about 36372.6908545409. The cubic root of 1322972640 is about 1097.7841454109.

The spelling of 1322972640 in words is "one billion, three hundred twenty-two million, nine hundred seventy-two thousand, six hundred forty".