1007136820 has 12 divisors (see below), whose sum is σ = 2114987364. Its totient is φ = 402854720.

The previous prime is 1007136817. The next prime is 1007136847. The reversal of 1007136820 is 286317001.

It can be written as a sum of positive squares in 2 ways, for example, as 535552164 + 471584656 = 23142^2 + 21716^2 .

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 3 ways as a sum of consecutive naturals, for example, 25178401 + ... + 25178440.

It is an arithmetic number, because the mean of its divisors is an integer number (176248947).

Almost surely, 2^1007136820 is an apocalyptic number.

1007136820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007136820 is an abundant number, since it is smaller than the sum of its proper divisors (1107850544).

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

1007136820 is a wasteful number, since it uses less digits than its factorization.

1007136820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50356850 (or 50356848 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1007136820 is about 31735.4190140921. The cubic root of 1007136820 is about 1002.3733029770.

The spelling of 1007136820 in words is "one billion, seven million, one hundred thirty-six thousand, eight hundred twenty".