1039648900 has 36 divisors (see below), whose sum is σ = 2258939620. Its totient is φ = 415324800.

The previous prime is 1039648873. The next prime is 1039648913. The reversal of 1039648900 is 98469301.

It can be written as a sum of positive squares in 6 ways, for example, as 10394176 + 1029254724 = 3224^2 + 32082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76630 + ... + 89170.

Almost surely, 2^1039648900 is an apocalyptic number.

1039648900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1039648900 is an abundant number, since it is smaller than the sum of its proper divisors (1219290720).

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

1039648900 is a wasteful number, since it uses less digits than its factorization.

1039648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13384 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1039648900 is about 32243.5869592699. The cubic root of 1039648900 is about 1013.0453780817.

The spelling of 1039648900 in words is "one billion, thirty-nine million, six hundred forty-eight thousand, nine hundred".