8991600 has 120 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 2338560.

The previous prime is 8991599. The next prime is 8991607. The reversal of 8991600 is 61998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8991607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70737 + ... + 70863.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^8991600 is an apocalyptic number.

8991600 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 8991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760960).

8991600 is an abundant number, since it is smaller than the sum of its proper divisors (20530320).

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

8991600 is a wasteful number, since it uses less digits than its factorization.

8991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 8991600 is about 2998.5996731808. The cubic root of 8991600 is about 207.9436484426.

It can be divided in two parts, 8991 and 600, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 8991600 in words is "eight million, nine hundred ninety-one thousand, six hundred".