8903984640 has 160 divisors (see below), whose sum is σ = 28543173120. Its totient is φ = 2367873024.

The previous prime is 8903984633. The next prime is 8903984647. The reversal of 8903984640 is 464893098.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8903984633) and next prime (8903984647).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8903984647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216537 + ... + 3219303.

It is an arithmetic number, because the mean of its divisors is an integer number (178394832).

Almost surely, 2^8903984640 is an apocalyptic number.

8903984640 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 8903984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271586560).

8903984640 is an abundant number, since it is smaller than the sum of its proper divisors (19639188480).

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

8903984640 is a wasteful number, since it uses less digits than its factorization.

8903984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 8903984640 is about 94360.9275070990. The cubic root of 8903984640 is about 2072.6603243157.

The spelling of 8903984640 in words is "eight billion, nine hundred three million, nine hundred eighty-four thousand, six hundred forty".