4688960 has 28 divisors (see below), whose sum is σ = 11166348. Its totient is φ = 1875456.

The previous prime is 4688951. The next prime is 4688977. The reversal of 4688960 is 698864.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 1893376 = 1672^2 + 1376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7007 + ... + 7646.

Almost surely, 2^4688960 is an apocalyptic number.

4688960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4688960 is an abundant number, since it is smaller than the sum of its proper divisors (6477388).

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

4688960 is a wasteful number, since it uses less digits than its factorization.

4688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4688960 is about 2165.4006557679. The cubic root of 4688960 is about 167.3756112210.

The spelling of 4688960 in words is "four million, six hundred eighty-eight thousand, nine hundred sixty".