8130690900 has 360 divisors, whose sum is σ = 28962521280. Its totient is φ = 1963906560.

The previous prime is 8130690899. The next prime is 8130690901. The reversal of 8130690900 is 90960318.

It is an interprime number because it is at equal distance from previous prime (8130690899) and next prime (8130690901).

It is a super-2 number, since 2×8130690900² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130690901) 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 119 ways as a sum of consecutive naturals, for example, 3538552 + ... + 3540848.

It is an arithmetic number, because the mean of its divisors is an integer number (80451448).

Almost surely, 2^8130690900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481260640).

8130690900 is an abundant number, since it is smaller than the sum of its proper divisors (20831830380).

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

8130690900 is a wasteful number, since it uses less digits than its factorization.

8130690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 8130690900 is about 90170.3437943984. The cubic root of 8130690900 is about 2010.8321348448.

The spelling of 8130690900 in words is "eight billion, one hundred thirty million, six hundred ninety thousand, nine hundred".