1007538688 has 160 divisors (see below), whose sum is σ = 2364848640. Its totient is φ = 424673280.

The previous prime is 1007538683. The next prime is 1007538733. The reversal of 1007538688 is 8868357001.

It is a super-2 number, since 2×1007538688² = 2030268415633522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007538683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3920256 + ... + 3920512.

It is an arithmetic number, because the mean of its divisors is an integer number (14780304).

Almost surely, 2^1007538688 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 1007538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182424320).

1007538688 is an abundant number, since it is smaller than the sum of its proper divisors (1357309952).

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

1007538688 is a wasteful number, since it uses less digits than its factorization.

1007538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 1007538688 is about 31741.7499202549. The cubic root of 1007538688 is about 1002.5066076683.

The spelling of 1007538688 in words is "one billion, seven million, five hundred thirty-eight thousand, six hundred eighty-eight".