8097600 has 168 divisors, whose sum is σ = 30488128. Its totient is φ = 1843200.

The previous prime is 8097599. The next prime is 8097601. The reversal of 8097600 is 67908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8097599) and next prime (8097601).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×8097600² = 131142251520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8097601) 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, 33480 + ... + 33720.

Almost surely, 2^8097600 is an apocalyptic number.

8097600 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 8097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15244064).

8097600 is an abundant number, since it is smaller than the sum of its proper divisors (22390528).

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

8097600 is a wasteful number, since it uses less digits than its factorization.

8097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8097600 is about 2845.6282258932. The cubic root of 8097600 is about 200.8100480149.

The spelling of 8097600 in words is "eight million, ninety-seven thousand, six hundred".