1007671240 has 16 divisors (see below), whose sum is σ = 2267260380. Its totient is φ = 403068480.

The previous prime is 1007671229. The next prime is 1007671241. The reversal of 1007671240 is 421767001.

It can be written as a sum of positive squares in 2 ways, for example, as 994897764 + 12773476 = 31542^2 + 3574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007671199 and 1007671208.

It is not an unprimeable number, because it can be changed into a prime (1007671241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12595851 + ... + 12595930.

Almost surely, 2^1007671240 is an apocalyptic number.

1007671240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007671240 is an abundant number, since it is smaller than the sum of its proper divisors (1259589140).

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

1007671240 is a wasteful number, since it uses less digits than its factorization.

1007671240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25191792 (or 25191788 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1007671240 is about 31743.8378272067. The cubic root of 1007671240 is about 1002.5505690666.

The spelling of 1007671240 in words is "one billion, seven million, six hundred seventy-one thousand, two hundred forty".