6009600 has 108 divisors (see below), whose sum is σ = 19896296. Its totient is φ = 1597440.

The previous prime is 6009599. The next prime is 6009611. The reversal of 6009600 is 69006.

It is a super-2 number, since 2×6009600² = 72230584320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19044 + ... + 19356.

Almost surely, 2^6009600 is an apocalyptic number.

6009600 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 6009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948148).

6009600 is an abundant number, since it is smaller than the sum of its proper divisors (13886696).

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

6009600 is a wasteful number, since it uses less digits than its factorization.

6009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6009600 is about 2451.4485513671. The cubic root of 6009600 is about 181.8089207404.

It can be divided in two parts, 600 and 9600, that multiplied together give a square (5760000 = 2400²).

The spelling of 6009600 in words is "six million, nine thousand, six hundred".