4935840 has 192 divisors, whose sum is σ = 19305216. Its totient is φ = 1032192.

The previous prime is 4935817. The next prime is 4935859. The reversal of 4935840 is 485394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43624 + ... + 43736.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 2^4935840 is an apocalyptic number.

4935840 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 4935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

4935840 is an abundant number, since it is smaller than the sum of its proper divisors (14369376).

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

4935840 is a wasteful number, since it uses less digits than its factorization.

4935840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4935840 is about 2221.6750437451. The cubic root of 4935840 is about 170.2630299605.

It can be divided in two parts, 4935 and 840, that added together give a palindrome (5775).

The spelling of 4935840 in words is "four million, nine hundred thirty-five thousand, eight hundred forty".