4761600 has 144 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1228800.

The previous prime is 4761583. The next prime is 4761619. The reversal of 4761600 is 61674.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153585 + ... + 153615.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 2^4761600 is an apocalyptic number.

4761600 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 4761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4761600 is an abundant number, since it is smaller than the sum of its proper divisors (11487360).

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

4761600 is a wasteful number, since it uses less digits than its factorization.

4761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4761600 is about 2182.1090715177. The cubic root of 4761600 is about 168.2354973969.

The spelling of 4761600 in words is "four million, seven hundred sixty-one thousand, six hundred".