601125600 has 216 divisors, whose sum is σ = 2019011400. Its totient is φ = 155340800.

The previous prime is 601125589. The next prime is 601125607. The reversal of 601125600 is 6521106.

It is a happy number.

It is a super-2 number, since 2×601125600² = 722703973950720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601125607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4034326 + ... + 4034474.

It is an arithmetic number, because the mean of its divisors is an integer number (9347275).

Almost surely, 2^601125600 is an apocalyptic number.

601125600 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 601125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009505700).

601125600 is an abundant number, since it is smaller than the sum of its proper divisors (1417885800).

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

601125600 is a wasteful number, since it uses less digits than its factorization.

601125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 601125600 is about 24517.8628758707. The cubic root of 601125600 is about 843.9597623877.

Adding to 601125600 its reverse (6521106), we get a palindrome (607646706).

The spelling of 601125600 in words is "six hundred one million, one hundred twenty-five thousand, six hundred".