4635840 has 112 divisors (see below), whose sum is σ = 16093440. Its totient is φ = 1121280.

The previous prime is 4635821. The next prime is 4635847. The reversal of 4635840 is 485364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4635798 and 4635807.

It is not an unprimeable number, because it can be changed into a prime (4635847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10341 + ... + 10779.

Almost surely, 2^4635840 is an apocalyptic number.

4635840 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 4635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046720).

4635840 is an abundant number, since it is smaller than the sum of its proper divisors (11457600).

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

4635840 is a wasteful number, since it uses less digits than its factorization.

4635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4635840 is about 2153.1000905671. The cubic root of 4635840 is about 166.7411578126.

The spelling of 4635840 in words is "four million, six hundred thirty-five thousand, eight hundred forty".