4635120 has 160 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1013760.

The previous prime is 4635097. The next prime is 4635131. The reversal of 4635120 is 215364.

It is a happy number.

4635120 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

4635120 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52036 + ... + 52124.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^4635120 is an apocalyptic number.

4635120 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 4635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4635120 is an abundant number, since it is smaller than the sum of its proper divisors (12506640).

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

4635120 is a wasteful number, since it uses less digits than its factorization.

4635120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4635120 is about 2152.9328833013. The cubic root of 4635120 is about 166.7325250837.

The spelling of 4635120 in words is "four million, six hundred thirty-five thousand, one hundred twenty".