4635360 has 192 divisors, whose sum is σ = 17236800. Its totient is φ = 1161216.

The previous prime is 4635359. The next prime is 4635361. The reversal of 4635360 is 635364.

It is an interprime number because it is at equal distance from previous prime (4635359) and next prime (4635361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125262 + ... + 125298.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

Almost surely, 2^4635360 is an apocalyptic number.

4635360 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 4635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

4635360 is an abundant number, since it is smaller than the sum of its proper divisors (12601440).

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

4635360 is a wasteful number, since it uses less digits than its factorization.

4635360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4635360 is about 2152.9886204994. The cubic root of 4635360 is about 166.7354027593.

The spelling of 4635360 in words is "four million, six hundred thirty-five thousand, three hundred sixty".