5913600 has 264 divisors, whose sum is σ = 24367488. Its totient is φ = 1228800.

The previous prime is 5913571. The next prime is 5913601. The reversal of 5913600 is 63195.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5913601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537595 + ... + 537605.

Almost surely, 2^5913600 is an apocalyptic number.

5913600 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 5913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183744).

5913600 is an abundant number, since it is smaller than the sum of its proper divisors (18453888).

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

5913600 is a wasteful number, since it uses less digits than its factorization.

5913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 5913600 is about 2431.7894645713. The cubic root of 5913600 is about 180.8356209347.

Adding to 5913600 its reverse (63195), we get a palindrome (5976795).

The spelling of 5913600 in words is "five million, nine hundred thirteen thousand, six hundred".