5009600 has 84 divisors (see below), whose sum is σ = 12850368. Its totient is φ = 1920000.

The previous prime is 5009593. The next prime is 5009603. The reversal of 5009600 is 69005.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5009603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49550 + ... + 49650.

Almost surely, 2^5009600 is an apocalyptic number.

5009600 is a gapful number since it is divisible by the number (50) 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 5009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425184).

5009600 is an abundant number, since it is smaller than the sum of its proper divisors (7840768).

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

5009600 is a wasteful number, since it uses less digits than its factorization.

5009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5009600 is about 2238.2135733660. The cubic root of 5009600 is about 171.1069631623.

The spelling of 5009600 in words is "five million, nine thousand, six hundred".