8890103040 has 864 divisors, whose sum is σ = 37345351680. Its totient is φ = 1759739904.

The previous prime is 8890103039. The next prime is 8890103141. The reversal of 8890103040 is 403010988.

It is a junction number, because it is equal to n+sod(n) for n = 8890102992 and 8890103010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86311629 + ... + 86311731.

Almost surely, 2^8890103040 is an apocalyptic number.

8890103040 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 8890103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672675840).

8890103040 is an abundant number, since it is smaller than the sum of its proper divisors (28455248640).

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

8890103040 is a wasteful number, since it uses less digits than its factorization.

8890103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8890103040 is about 94287.3429469725. The cubic root of 8890103040 is about 2071.5826492536.

The spelling of 8890103040 in words is "eight billion, eight hundred ninety million, one hundred three thousand, forty".