1332971640 has 768 divisors, whose sum is σ = 6076062720. Its totient is φ = 253808640.

The previous prime is 1332971603. The next prime is 1332971641. The reversal of 1332971640 is 461792331.

1332971640 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 7 + 1 + 640 = 666.

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 = 1332971595 and 1332971604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332971641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9729652 + ... + 9729788.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^1332971640 is an apocalyptic number.

1332971640 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 1332971640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038031360).

1332971640 is an abundant number, since it is smaller than the sum of its proper divisors (4743091080).

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

1332971640 is a wasteful number, since it uses less digits than its factorization.

1332971640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1332971640 is about 36509.8841411473. The cubic root of 1332971640 is about 1100.5428835415.

The spelling of 1332971640 in words is "one billion, three hundred thirty-two million, nine hundred seventy-one thousand, six hundred forty".