1009861600 has 72 divisors (see below), whose sum is σ = 2689468488. Its totient is φ = 367219200.

The previous prime is 1009861553. The next prime is 1009861631. The reversal of 1009861600 is 61689001.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 48579 + ... + 66178.

It is an arithmetic number, because the mean of its divisors is an integer number (37353729).

Almost surely, 2^1009861600 is an apocalyptic number.

1009861600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009861600 is an abundant number, since it is smaller than the sum of its proper divisors (1679606888).

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

1009861600 is a wasteful number, since it uses less digits than its factorization.

1009861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114788 (or 114775 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1009861600 is about 31778.3196534996. The cubic root of 1009861600 is about 1003.2764531305.

The spelling of 1009861600 in words is "one billion, nine million, eight hundred sixty-one thousand, six hundred".