1807649136 has 200 divisors, whose sum is σ = 5413443200. Its totient is φ = 581986944.

The previous prime is 1807649131. The next prime is 1807649149. The reversal of 1807649136 is 6319467081.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1807649091 and 1807649100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1807649131) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9083565 + ... + 9083763.

It is an arithmetic number, because the mean of its divisors is an integer number (27067216).

Almost surely, 2^1807649136 is an apocalyptic number.

1807649136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1807649136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706721600).

1807649136 is an abundant number, since it is smaller than the sum of its proper divisors (3605794064).

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

1807649136 is a wasteful number, since it uses less digits than its factorization.

1807649136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1807649136 is about 42516.4572371688. The cubic root of 1807649136 is about 1218.1610600188.

The spelling of 1807649136 in words is "one billion, eight hundred seven million, six hundred forty-nine thousand, one hundred thirty-six".