8801600 has 42 divisors (see below), whose sum is σ = 21661374. Its totient is φ = 3520000.

The previous prime is 8801599. The next prime is 8801623. The reversal of 8801600 is 61088.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 6190144 = 1616^2 + 2488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1151 + ... + 4350.

It is an arithmetic number, because the mean of its divisors is an integer number (515747).

Almost surely, 2^8801600 is an apocalyptic number.

8801600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8801600 is an abundant number, since it is smaller than the sum of its proper divisors (12859774).

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

8801600 is a wasteful number, since it uses less digits than its factorization.

8801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8801600 is about 2966.7490625262. The cubic root of 8801600 is about 206.4685348193.

Adding to 8801600 its reverse (61088), we get a palindrome (8862688).

The spelling of 8801600 in words is "eight million, eight hundred one thousand, six hundred".