8190897120 has 384 divisors, whose sum is σ = 32891443200. Its totient is φ = 1864912896.

The previous prime is 8190897101. The next prime is 8190897151. The reversal of 8190897120 is 217980918.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13275052 + ... + 13275668.

It is an arithmetic number, because the mean of its divisors is an integer number (85654800).

Almost surely, 2^8190897120 is an apocalyptic number.

8190897120 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 8190897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445721600).

8190897120 is an abundant number, since it is smaller than the sum of its proper divisors (24700546080).

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

8190897120 is a wasteful number, since it uses less digits than its factorization.

8190897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 8190897120 is about 90503.5751780006. The cubic root of 8190897120 is about 2015.7832108155.

The spelling of 8190897120 in words is "eight billion, one hundred ninety million, eight hundred ninety-seven thousand, one hundred twenty".