4985640 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1207680.

The previous prime is 4985627. The next prime is 4985647. The reversal of 4985640 is 465894.

4985640 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 640 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4985595 and 4985604.

It is not an unprimeable number, because it can be changed into a prime (4985647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^4985640 is an apocalyptic number.

4985640 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 4985640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

4985640 is an abundant number, since it is smaller than the sum of its proper divisors (12704760).

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

4985640 is a wasteful number, since it uses less digits than its factorization.

4985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4985640 is about 2232.8546750740. The cubic root of 4985640 is about 170.8337360028.

It can be divided in two parts, 4985 and 640, that added together give a square (5625 = 75²).

The spelling of 4985640 in words is "four million, nine hundred eighty-five thousand, six hundred forty".