8528601600 has 360 divisors, whose sum is σ = 30865755492. Its totient is φ = 2248704000.

The previous prime is 8528601589. The next prime is 8528601629. The reversal of 8528601600 is 61068258.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7707435264 + 821166336 = 87792^2 + 28656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11634834 + ... + 11635566.

Almost surely, 2^8528601600 is an apocalyptic number.

8528601600 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 8528601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432877746).

8528601600 is an abundant number, since it is smaller than the sum of its proper divisors (22337153892).

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

8528601600 is a wasteful number, since it uses less digits than its factorization.

8528601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8528601600 is about 92350.4282610536. The cubic root of 8528601600 is about 2043.1140444774.

Adding to 8528601600 its reverse (61068258), we get a palindrome (8589669858).

The spelling of 8528601600 in words is "eight billion, five hundred twenty-eight million, six hundred one thousand, six hundred".