4761360 has 120 divisors (see below), whose sum is σ = 16974360. Its totient is φ = 1191936.

The previous prime is 4761349. The next prime is 4761373. The reversal of 4761360 is 631674.

4761360 is a `hidden beast` number, since 47 + 613 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 4260096 = 708^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12046 + ... + 12434.

It is an arithmetic number, because the mean of its divisors is an integer number (141453).

Almost surely, 2^4761360 is an apocalyptic number.

4761360 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 4761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487180).

4761360 is an abundant number, since it is smaller than the sum of its proper divisors (12213000).

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

4761360 is a wasteful number, since it uses less digits than its factorization.

4761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4761360 is about 2182.0540781566. The cubic root of 4761360 is about 168.2326708122.

The spelling of 4761360 in words is "four million, seven hundred sixty-one thousand, three hundred sixty".