4638960 has 120 divisors (see below), whose sum is σ = 16539120. Its totient is φ = 1161216.

The previous prime is 4638937. The next prime is 4638961. The reversal of 4638960 is 698364.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638961) 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, 12051 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 2^4638960 is an apocalyptic number.

4638960 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 4638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269560).

4638960 is an abundant number, since it is smaller than the sum of its proper divisors (11900160).

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

4638960 is a wasteful number, since it uses less digits than its factorization.

4638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4638960 is about 2153.8245053857. The cubic root of 4638960 is about 166.7785559790.

The spelling of 4638960 in words is "four million, six hundred thirty-eight thousand, nine hundred sixty".