1332682560 has 672 divisors, whose sum is σ = 5477621760. Its totient is φ = 293990400.

The previous prime is 1332682543. The next prime is 1332682609. The reversal of 1332682560 is 652862331.

It is a happy number.

1332682560 is a `hidden beast` number, since 1 + 3 + 32 + 68 + 2 + 560 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22587811 + ... + 22587869.

Almost surely, 2^1332682560 is an apocalyptic number.

1332682560 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 1332682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738810880).

1332682560 is an abundant number, since it is smaller than the sum of its proper divisors (4144939200).

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

1332682560 is a wasteful number, since it uses less digits than its factorization.

1332682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1332682560 is about 36505.9249985533. The cubic root of 1332682560 is about 1100.4633199738.

The spelling of 1332682560 in words is "one billion, three hundred thirty-two million, six hundred eighty-two thousand, five hundred sixty".