4993600 has 42 divisors (see below), whose sum is σ = 12291314. Its totient is φ = 1996800.

The previous prime is 4993591. The next prime is 4993603. The reversal of 4993600 is 63994.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 4910656 = 288^2 + 2216^2 .

It is not an unprimeable number, because it can be changed into a prime (4993603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40 + ... + 3160.

Almost surely, 2^4993600 is an apocalyptic number.

4993600 is a gapful number since it is divisible by the number (40) 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 4993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145657).

4993600 is an abundant number, since it is smaller than the sum of its proper divisors (7297714).

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

4993600 is a wasteful number, since it uses less digits than its factorization.

4993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 4993600 is about 2234.6364357541. The cubic root of 4993600 is about 170.9246045426.

The spelling of 4993600 in words is "four million, nine hundred ninety-three thousand, six hundred".