1007240004 has 72 divisors (see below), whose sum is σ = 2705903928. Its totient is φ = 314818560.

The previous prime is 1007239999. The next prime is 1007240051. The reversal of 1007240004 is 4000427001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 623001600 + 384238404 = 24960^2 + 19602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169044 + ... + 174900.

It is an arithmetic number, because the mean of its divisors is an integer number (37581999).

Almost surely, 2^1007240004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352951964).

1007240004 is an abundant number, since it is smaller than the sum of its proper divisors (1698663924).

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

1007240004 is a wasteful number, since it uses less digits than its factorization.

1007240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1007240004 is about 31737.0446639255. The cubic root of 1007240004 is about 1002.4075337962.

Adding to 1007240004 its reverse (4000427001), we get a palindrome (5007667005).

The spelling of 1007240004 in words is "one billion, seven million, two hundred forty thousand, four".