1007503668 has 18 divisors (see below), whose sum is σ = 2546745474. Its totient is φ = 335834544.

The previous prime is 1007503663. The next prime is 1007503681. The reversal of 1007503668 is 8663057001.

It can be written as a sum of positive squares in only one way, i.e., 922458384 + 85045284 = 30372^2 + 9222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27986213 = 1007503668 / (1 + 0 + 0 + 7 + 5 + 0 + 3 + 6 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007503663) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13993071 + ... + 13993142.

Almost surely, 2^1007503668 is an apocalyptic number.

1007503668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007503668 is an abundant number, since it is smaller than the sum of its proper divisors (1539241806).

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

1007503668 is a wasteful number, since it uses less digits than its factorization.

1007503668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27986223 (or 27986218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1007503668 is about 31741.1982760576. The cubic root of 1007503668 is about 1002.4949925020.

The spelling of 1007503668 in words is "one billion, seven million, five hundred three thousand, six hundred sixty-eight".