4864960 has 56 divisors (see below), whose sum is σ = 12106656. Its totient is φ = 1858560.

The previous prime is 4864957. The next prime is 4864987. The reversal of 4864960 is 694684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7030 + ... + 7690.

Almost surely, 2^4864960 is an apocalyptic number.

4864960 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 4864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053328).

4864960 is an abundant number, since it is smaller than the sum of its proper divisors (7241696).

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

4864960 is a wasteful number, since it uses less digits than its factorization.

4864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4864960 is about 2205.6654324716. The cubic root of 4864960 is about 169.4440895411. Note that the first 3 decimals are identical.

The spelling of 4864960 in words is "four million, eight hundred sixty-four thousand, nine hundred sixty".