8121600 has 216 divisors, whose sum is σ = 30414720. Its totient is φ = 2119680.

The previous prime is 8121587. The next prime is 8121613. The reversal of 8121600 is 61218.

It is an interprime number because it is at equal distance from previous prime (8121587) and next prime (8121613).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172777 + ... + 172823.

Almost surely, 2^8121600 is an apocalyptic number.

8121600 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 8121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360).

8121600 is an abundant number, since it is smaller than the sum of its proper divisors (22293120).

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

8121600 is a wasteful number, since it uses less digits than its factorization.

8121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8121600 is about 2849.8421008891. The cubic root of 8121600 is about 201.0082420323.

Adding to 8121600 its reverse (61218), we get a palindrome (8182818).

The spelling of 8121600 in words is "eight million, one hundred twenty-one thousand, six hundred".