4892960 has 48 divisors (see below), whose sum is σ = 11798136. Its totient is φ = 1916928.

The previous prime is 4892941. The next prime is 4892977. The reversal of 4892960 is 692984.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 16 = 2212^2 + 4^2 .

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, 8192 + ... + 8768.

Almost surely, 2^4892960 is an apocalyptic number.

4892960 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 4892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899068).

4892960 is an abundant number, since it is smaller than the sum of its proper divisors (6905176).

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

4892960 is a wasteful number, since it uses less digits than its factorization.

4892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 4892960 is about 2212.0036166336. The cubic root of 4892960 is about 169.7685431435.

The spelling of 4892960 in words is "four million, eight hundred ninety-two thousand, nine hundred sixty".