8201600 has 96 divisors (see below), whose sum is σ = 22197240. Its totient is φ = 2969600.

The previous prime is 8201587. The next prime is 8201603. The reversal of 8201600 is 61028.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35084 + ... + 35316.

Almost surely, 2^8201600 is an apocalyptic number.

8201600 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 8201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098620).

8201600 is an abundant number, since it is smaller than the sum of its proper divisors (13995640).

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

8201600 is a wasteful number, since it uses less digits than its factorization.

8201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8201600 is about 2863.8435711470. The cubic root of 8201600 is about 201.6660823090. Note that the first 3 decimals are identical.

Adding to 8201600 its reverse (61028), we get a palindrome (8262628).

The spelling of 8201600 in words is "eight million, two hundred one thousand, six hundred".