4672960 has 56 divisors (see below), whose sum is σ = 11795760. Its totient is φ = 1757184.

The previous prime is 4672951. The next prime is 4672963. The reversal of 4672960 is 692764.

4672960 is digitally balanced in base 5, because in such base 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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5011 + ... + 5869.

Almost surely, 2^4672960 is an apocalyptic number.

4672960 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 4672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897880).

4672960 is an abundant number, since it is smaller than the sum of its proper divisors (7122800).

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

4672960 is a wasteful number, since it uses less digits than its factorization.

4672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 4672960 is about 2161.7030323335. The cubic root of 4672960 is about 167.1850173154.

The spelling of 4672960 in words is "four million, six hundred seventy-two thousand, nine hundred sixty".