8909913600 has 960 divisors, whose sum is σ = 38968934400. Its totient is φ = 1950842880.

The previous prime is 8909913559. The next prime is 8909913641. The reversal of 8909913600 is 63199098.

It is an interprime number because it is at equal distance from previous prime (8909913559) and next prime (8909913641).

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70156737 + ... + 70156863.

It is an arithmetic number, because the mean of its divisors is an integer number (40592640).

Almost surely, 2^8909913600 is an apocalyptic number.

8909913600 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 8909913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484467200).

8909913600 is an abundant number, since it is smaller than the sum of its proper divisors (30059020800).

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

8909913600 is a wasteful number, since it uses less digits than its factorization.

8909913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 8909913600 is about 94392.3386721613. The cubic root of 8909913600 is about 2073.1202679652.

The spelling of 8909913600 in words is "eight billion, nine hundred nine million, nine hundred thirteen thousand, six hundred".