8903408640 has 352 divisors, whose sum is σ = 34466632704. Its totient is φ = 1914961920.

The previous prime is 8903408551. The next prime is 8903408641. The reversal of 8903408640 is 468043098.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8903408592 and 8903408601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8903408641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825405 + ... + 1830275.

Almost surely, 2^8903408640 is an apocalyptic number.

8903408640 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 8903408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233316352).

8903408640 is an abundant number, since it is smaller than the sum of its proper divisors (25563224064).

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

8903408640 is a wasteful number, since it uses less digits than its factorization.

8903408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8903408640 is about 94357.8753470001. The cubic root of 8903408640 is about 2072.6156297907.

The spelling of 8903408640 in words is "eight billion, nine hundred three million, four hundred eight thousand, six hundred forty".