1007661188 has 24 divisors (see below), whose sum is σ = 1846122432. Its totient is φ = 480341664.

The previous prime is 1007661131. The next prime is 1007661227. The reversal of 1007661188 is 8811667001.

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 7 ways as a sum of consecutive naturals, for example, 10406 + ... + 46082.

It is an arithmetic number, because the mean of its divisors is an integer number (76921768).

Almost surely, 2^1007661188 is an apocalyptic number.

It is an amenable number.

1007661188 is a deficient number, since it is larger than the sum of its proper divisors (838461244).

1007661188 is a wasteful number, since it uses less digits than its factorization.

1007661188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36011 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 1007661188 is about 31743.6794968699. The cubic root of 1007661188 is about 1002.5472354159.

The spelling of 1007661188 in words is "one billion, seven million, six hundred sixty-one thousand, one hundred eighty-eight".