4755960 has 96 divisors (see below), whose sum is σ = 16876080. Its totient is φ = 1152000.

The previous prime is 4755941. The next prime is 4755967. The reversal of 4755960 is 695574.

4755960 is a `hidden beast` number, since 47 + 559 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4755967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360 + ... + 4560.

Almost surely, 2^4755960 is an apocalyptic number.

4755960 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 4755960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438040).

4755960 is an abundant number, since it is smaller than the sum of its proper divisors (12120120).

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

4755960 is a wasteful number, since it uses less digits than its factorization.

4755960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4755960 is about 2180.8163609071. The cubic root of 4755960 is about 168.1690475284.

The spelling of 4755960 in words is "four million, seven hundred fifty-five thousand, nine hundred sixty".