6081600 has 168 divisors, whose sum is σ = 22929088. Its totient is φ = 1382400.

The previous prime is 6081599. The next prime is 6081601. The reversal of 6081600 is 61806.

It is an interprime number because it is at equal distance from previous prime (6081599) and next prime (6081601).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (6081601) 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, 33510 + ... + 33690.

Almost surely, 2^6081600 is an apocalyptic number.

6081600 is a gapful number since it is divisible by the number (60) 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 6081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464544).

6081600 is an abundant number, since it is smaller than the sum of its proper divisors (16847488).

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

6081600 is a wasteful number, since it uses less digits than its factorization.

6081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6081600 is about 2466.0900226877. The cubic root of 6081600 is about 182.5321141960.

The spelling of 6081600 in words is "six million, eighty-one thousand, six hundred".