1007512840 has 16 divisors (see below), whose sum is σ = 2266903980. Its totient is φ = 403005120.

The previous prime is 1007512811. The next prime is 1007512853. The reversal of 1007512840 is 482157001.

It can be written as a sum of positive squares in 2 ways, for example, as 891261316 + 116251524 = 29854^2 + 10782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1007512799 and 1007512808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12593871 + ... + 12593950.

Almost surely, 2^1007512840 is an apocalyptic number.

1007512840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007512840 is an abundant number, since it is smaller than the sum of its proper divisors (1259391140).

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

1007512840 is a wasteful number, since it uses less digits than its factorization.

1007512840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25187832 (or 25187828 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 1007512840 is about 31741.3427567266. The cubic root of 1007512840 is about 1002.4980346269.

Adding to 1007512840 its reverse (482157001), we get a palindrome (1489669841).

The spelling of 1007512840 in words is "one billion, seven million, five hundred twelve thousand, eight hundred forty".