4625760 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1177088.

The previous prime is 4625729. The next prime is 4625767. The reversal of 4625760 is 675264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10831 + ... + 11249.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^4625760 is an apocalyptic number.

4625760 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 4625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4625760 is an abundant number, since it is smaller than the sum of its proper divisors (10615200).

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

4625760 is a wasteful number, since it uses less digits than its factorization.

4625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4625760 is about 2150.7580059133. The cubic root of 4625760 is about 166.6202181675.

The spelling of 4625760 in words is "four million, six hundred twenty-five thousand, seven hundred sixty".