4632960 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1161216.

The previous prime is 4632917. The next prime is 4632973. The reversal of 4632960 is 692364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36417 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 2^4632960 is an apocalyptic number.

4632960 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 4632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

4632960 is an abundant number, since it is smaller than the sum of its proper divisors (11034240).

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

4632960 is a wasteful number, since it uses less digits than its factorization.

4632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 4632960 is about 2152.4311835689. The cubic root of 4632960 is about 166.7066215320.

The spelling of 4632960 in words is "four million, six hundred thirty-two thousand, nine hundred sixty".