1324290240 has 672 divisors, whose sum is σ = 5822509056. Its totient is φ = 268738560.

The previous prime is 1324290239. The next prime is 1324290313. The reversal of 1324290240 is 420924231.

1324290240 is a `hidden beast` number, since 132 + 4 + 290 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124399 + ... + 8124561.

It is an arithmetic number, because the mean of its divisors is an integer number (8664448).

Almost surely, 2^1324290240 is an apocalyptic number.

1324290240 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 1324290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911254528).

1324290240 is an abundant number, since it is smaller than the sum of its proper divisors (4498218816).

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

1324290240 is a wasteful number, since it uses less digits than its factorization.

1324290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1324290240 is about 36390.7988370687. The cubic root of 1324290240 is about 1098.1484664919.

The spelling of 1324290240 in words is "one billion, three hundred twenty-four million, two hundred ninety thousand, two hundred forty".