8190230880 has 192 divisors, whose sum is σ = 28240567488. Its totient is φ = 1982914560.

The previous prime is 8190230863. The next prime is 8190230891. The reversal of 8190230880 is 880320918.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369882 + ... + 391398.

It is an arithmetic number, because the mean of its divisors is an integer number (147086289).

Almost surely, 2^8190230880 is an apocalyptic number.

8190230880 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 8190230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120283744).

8190230880 is an abundant number, since it is smaller than the sum of its proper divisors (20050336608).

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

8190230880 is a wasteful number, since it uses less digits than its factorization.

8190230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21609 (or 21601 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8190230880 is about 90499.8943645792. The cubic root of 8190230880 is about 2015.7285553527.

The spelling of 8190230880 in words is "eight billion, one hundred ninety million, two hundred thirty thousand, eight hundred eighty".