4936000 has 56 divisors (see below), whose sum is σ = 12243816. Its totient is φ = 1971200.

The previous prime is 4935989. The next prime is 4936033. The reversal of 4936000 is 6394.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 3717184 = 1104^2 + 1928^2 .

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, 7692 + ... + 8308.

Almost surely, 2^4936000 is an apocalyptic number.

4936000 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 4936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121908).

4936000 is an abundant number, since it is smaller than the sum of its proper divisors (7307816).

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

4936000 is an equidigital number, since it uses as much as digits as its factorization.

4936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 4936000 is about 2221.7110523198. The cubic root of 4936000 is about 170.2648696872.

The spelling of 4936000 in words is "four million, nine hundred thirty-six thousand".