3992560 has 80 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1336320.

The previous prime is 3992533. The next prime is 3992563. The reversal of 3992560 is 652993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992563) 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, 11266 + ... + 11614.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^3992560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3992560 is an abundant number, since it is smaller than the sum of its proper divisors (6944240).

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

3992560 is a wasteful number, since it uses less digits than its factorization.

3992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 3992560 is about 1998.1391342947. The cubic root of 3992560 is about 158.6416252488.

The spelling of 3992560 in words is "three million, nine hundred ninety-two thousand, five hundred sixty".