4695840 has 96 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1251072.

The previous prime is 4695833. The next prime is 4695851. The reversal of 4695840 is 485964.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4695795 and 4695804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3777 + ... + 4863.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 2^4695840 is an apocalyptic number.

4695840 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 4695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

4695840 is an abundant number, since it is smaller than the sum of its proper divisors (11754720).

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

4695840 is a wasteful number, since it uses less digits than its factorization.

4695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

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

The square root of 4695840 is about 2166.9886940176. The cubic root of 4695840 is about 167.4574333061.

The spelling of 4695840 in words is "four million, six hundred ninety-five thousand, eight hundred forty".