4863600 has 180 divisors, whose sum is σ = 19389136. Its totient is φ = 1105920.

The previous prime is 4863589. The next prime is 4863611. The reversal of 4863600 is 63684.

It is an interprime number because it is at equal distance from previous prime (4863589) and next prime (4863611).

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25104 + ... + 25296.

Almost surely, 2^4863600 is an apocalyptic number.

4863600 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 4863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694568).

4863600 is an abundant number, since it is smaller than the sum of its proper divisors (14525536).

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

4863600 is a wasteful number, since it uses less digits than its factorization.

4863600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4863600 is about 2205.3571139387. The cubic root of 4863600 is about 169.4282986995.

The spelling of 4863600 in words is "four million, eight hundred sixty-three thousand, six hundred".