4681600 has 192 divisors, whose sum is σ = 15177600. Its totient is φ = 1382400.

The previous prime is 4681597. The next prime is 4681603. The reversal of 4681600 is 61864.

It is an interprime number because it is at equal distance from previous prime (4681597) and next prime (4681603).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246391 + ... + 246409.

It is an arithmetic number, because the mean of its divisors is an integer number (79050).

Almost surely, 2^4681600 is an apocalyptic number.

4681600 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 4681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4681600 is an abundant number, since it is smaller than the sum of its proper divisors (10496000).

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

4681600 is a wasteful number, since it uses less digits than its factorization.

4681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4681600 is about 2163.7005338078. The cubic root of 4681600 is about 167.2879919621.

The spelling of 4681600 in words is "four million, six hundred eighty-one thousand, six hundred".