8601600 has 180 divisors, whose sum is σ = 32504864. Its totient is φ = 1966080.

The previous prime is 8601587. The next prime is 8601629. The reversal of 8601600 is 61068.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228797 + ... + 1228803.

Almost surely, 2^8601600 is an apocalyptic number.

8601600 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 8601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252432).

8601600 is an abundant number, since it is smaller than the sum of its proper divisors (23903264).

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

8601600 is an equidigital number, since it uses as much as digits as its factorization.

8601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8601600 is about 2932.8484447717. The cubic root of 8601600 is about 204.8926663980.

Multiplying 8601600 by its sum of digits (21), we get a square (180633600 = 13440²).

8601600 divided by its sum of digits (21) gives a square (409600 = 640²).

Adding to 8601600 its reverse (61068), we get a palindrome (8662668).

The spelling of 8601600 in words is "eight million, six hundred one thousand, six hundred".