1320527040 has 448 divisors, whose sum is σ = 5070311424. Its totient is φ = 284884992.

The previous prime is 1320527023. The next prime is 1320527041. The reversal of 1320527040 is 407250231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1320527040.

It is not an unprimeable number, because it can be changed into a prime (1320527041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11686024 + ... + 11686136.

Almost surely, 2^1320527040 is an apocalyptic number.

1320527040 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 1320527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535155712).

1320527040 is an abundant number, since it is smaller than the sum of its proper divisors (3749784384).

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

1320527040 is a wasteful number, since it uses less digits than its factorization.

1320527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1320527040 is about 36339.0566746029. The cubic root of 1320527040 is about 1097.1072866382.

Adding to 1320527040 its reverse (407250231), we get a palindrome (1727777271).

The spelling of 1320527040 in words is "one billion, three hundred twenty million, five hundred twenty-seven thousand, forty".