8091600 has 120 divisors (see below), whose sum is σ = 28322592. Its totient is φ = 1958400.

The previous prime is 8091583. The next prime is 8091617. The reversal of 8091600 is 61908.

It is an interprime number because it is at equal distance from previous prime (8091583) and next prime (8091617).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12894 + ... + 13506.

Almost surely, 2^8091600 is an apocalyptic number.

8091600 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 8091600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14161296).

8091600 is an abundant number, since it is smaller than the sum of its proper divisors (20230992).

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

8091600 is a wasteful number, since it uses less digits than its factorization.

8091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8091600 is about 2844.5737817817. The cubic root of 8091600 is about 200.7604383365.

The spelling of 8091600 in words is "eight million, ninety-one thousand, six hundred".