4760672 has 48 divisors (see below), whose sum is σ = 10940832. Its totient is φ = 1996800.

The previous prime is 4760653. The next prime is 4760687. The reversal of 4760672 is 2760674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11672 + ... + 12072.

It is an arithmetic number, because the mean of its divisors is an integer number (227934).

Almost surely, 2^4760672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470416).

4760672 is an abundant number, since it is smaller than the sum of its proper divisors (6180160).

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

4760672 is a wasteful number, since it uses less digits than its factorization.

4760672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 4760672 is about 2181.8964228395. The cubic root of 4760672 is about 168.2245674094.

The spelling of 4760672 in words is "four million, seven hundred sixty thousand, six hundred seventy-two".