6090123600 has 720 divisors, whose sum is σ = 24581426688. Its totient is φ = 1393920000.

The previous prime is 6090123593. The next prime is 6090123607. The reversal of 6090123600 is 63210906.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6090123593) and next prime (6090123607).

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6090123607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148539580 + ... + 148539620.

Almost surely, 2^6090123600 is an apocalyptic number.

6090123600 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 6090123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290713344).

6090123600 is an abundant number, since it is smaller than the sum of its proper divisors (18491303088).

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

6090123600 is a wasteful number, since it uses less digits than its factorization.

6090123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6090123600 is about 78039.2439737854. The cubic root of 6090123600 is about 1826.1734968452.

The spelling of 6090123600 in words is "six billion, ninety million, one hundred twenty-three thousand, six hundred".