8691125040 has 200 divisors, whose sum is σ = 32507846448. Its totient is φ = 2139333120.

The previous prime is 8691124997. The next prime is 8691125071. The reversal of 8691125040 is 405211968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8691124986 and 8691125004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32655 + ... + 135825.

Almost surely, 2^8691125040 is an apocalyptic number.

8691125040 is a gapful number since it is divisible by the number (80) 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 8691125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253923224).

8691125040 is an abundant number, since it is smaller than the sum of its proper divisors (23816721408).

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

8691125040 is a wasteful number, since it uses less digits than its factorization.

8691125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103209 (or 103194 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8691125040 is about 93226.2036125037. The cubic root of 8691125040 is about 2056.0105211753.

The spelling of 8691125040 in words is "eight billion, six hundred ninety-one million, one hundred twenty-five thousand, forty".