1328970240 has 800 divisors, whose sum is σ = 5614796880. Its totient is φ = 297271296.

The previous prime is 1328970197. The next prime is 1328970263. The reversal of 1328970240 is 420798231.

1328970240 is a `hidden beast` number, since 1 + 328 + 97 + 0 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 524226816 + 804743424 = 22896^2 + 28368^2 .

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 = 1328970195 and 1328970204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826546 + ... + 45826574.

Almost surely, 2^1328970240 is an apocalyptic number.

1328970240 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 1328970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807398440).

1328970240 is an abundant number, since it is smaller than the sum of its proper divisors (4285826640).

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

1328970240 is a wasteful number, since it uses less digits than its factorization.

1328970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1328970240 is about 36455.0440954335. The cubic root of 1328970240 is about 1099.4405529857.

The spelling of 1328970240 in words is "one billion, three hundred twenty-eight million, nine hundred seventy thousand, two hundred forty".