1006324240 has 40 divisors (see below), whose sum is σ = 2341825560. Its totient is φ = 402164736.

The previous prime is 1006324223. The next prime is 1006324243. The reversal of 1006324240 is 424236001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 436642816 + 569681424 = 20896^2 + 23868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1006324243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93876 + ... + 104044.

It is an arithmetic number, because the mean of its divisors is an integer number (58545639).

Almost surely, 2^1006324240 is an apocalyptic number.

1006324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006324240 is an abundant number, since it is smaller than the sum of its proper divisors (1335501320).

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

1006324240 is a wasteful number, since it uses less digits than its factorization.

1006324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1006324240 is about 31722.6140158720. The cubic root of 1006324240 is about 1002.1036515470.

The spelling of 1006324240 in words is "one billion, six million, three hundred twenty-four thousand, two hundred forty".