4760160 has 96 divisors (see below), whose sum is σ = 15386112. Its totient is φ = 1236480.

The previous prime is 4760137. The next prime is 4760167. The reversal of 4760160 is 610674.

4760160 = T₇₂ + T₇₃ + ... + T₃₀₆.

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 (24).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4760160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22455 + ... + 22665.

It is an arithmetic number, because the mean of its divisors is an integer number (160272).

Almost surely, 2^4760160 is an apocalyptic number.

4760160 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 4760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693056).

4760160 is an abundant number, since it is smaller than the sum of its proper divisors (10625952).

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

4760160 is a wasteful number, since it uses less digits than its factorization.

4760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

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

The square root of 4760160 is about 2181.7790905589. The cubic root of 4760160 is about 168.2185364635.

The spelling of 4760160 in words is "four million, seven hundred sixty thousand, one hundred sixty".