4697920 has 56 divisors (see below), whose sum is σ = 11439144. Its totient is φ = 1837056.

The previous prime is 4697909. The next prime is 4697923. The reversal of 4697920 is 297964.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 4393216 = 552^2 + 2096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4697920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4697923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16822 + ... + 17098.

Almost surely, 2^4697920 is an apocalyptic number.

4697920 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 4697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719572).

4697920 is an abundant number, since it is smaller than the sum of its proper divisors (6741224).

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

4697920 is a wasteful number, since it uses less digits than its factorization.

4697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 4697920 is about 2167.4685695530. The cubic root of 4697920 is about 167.4821544811.

The spelling of 4697920 in words is "four million, six hundred ninety-seven thousand, nine hundred twenty".