1007608752 has 30 divisors (see below), whose sum is σ = 2819905452. Its totient is φ = 335869536.

The previous prime is 1007608697. The next prime is 1007608759. The reversal of 1007608752 is 2578067001.

1007608752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1007608759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3498498 + ... + 3498785.

Almost surely, 2^1007608752 is an apocalyptic number.

1007608752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007608752 is an abundant number, since it is smaller than the sum of its proper divisors (1812296700).

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

1007608752 is a wasteful number, since it uses less digits than its factorization.

1007608752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997297 (or 6997288 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1007608752 is about 31742.8535579270. The cubic root of 1007608752 is about 1002.5298451531.

The spelling of 1007608752 in words is "one billion, seven million, six hundred eight thousand, seven hundred fifty-two".