4676360 has 96 divisors (see below), whose sum is σ = 12542040. Its totient is φ = 1554432.

The previous prime is 4676351. The next prime is 4676369. The reversal of 4676360 is 636764.

It is an interprime number because it is at equal distance from previous prime (4676351) and next prime (4676369).

It can be written as a sum of positive squares in 4 ways, for example, as 3556996 + 1119364 = 1886^2 + 1058^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4676369) 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, 203309 + ... + 203331.

Almost surely, 2^4676360 is an apocalyptic number.

4676360 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 4676360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271020).

4676360 is an abundant number, since it is smaller than the sum of its proper divisors (7865680).

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

4676360 is a wasteful number, since it uses less digits than its factorization.

4676360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 4676360 is about 2162.4893063319. The cubic root of 4676360 is about 167.2255548800.

The spelling of 4676360 in words is "four million, six hundred seventy-six thousand, three hundred sixty".