3590160 has 80 divisors (see below), whose sum is σ = 12725376. Its totient is φ = 820224.

The previous prime is 3590149. The next prime is 3590161. The reversal of 3590160 is 610953.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3590160.

It is not an unprimeable number, because it can be changed into a prime (3590161) 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, 612 + ... + 2748.

Almost surely, 2^3590160 is an apocalyptic number.

3590160 is a gapful number since it is divisible by the number (30) 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 3590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362688).

3590160 is an abundant number, since it is smaller than the sum of its proper divisors (9135216).

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

3590160 is a wasteful number, since it uses less digits than its factorization.

3590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 3590160 is about 1894.7717540643. The cubic root of 3590160 is about 153.1221204512.

The spelling of 3590160 in words is "three million, five hundred ninety thousand, one hundred sixty".