2013960 has 64 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 495360.

The previous prime is 2013941. The next prime is 2013967. The reversal of 2013960 is 693102.

2013960 = T₉₀ + T₉₁ + ... + T₂₃₃.

It is not an unprimeable number, because it can be changed into a prime (2013967) 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 15 ways as a sum of consecutive naturals, for example, 915 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

2^2013960 is an apocalyptic number.

2013960 is a gapful number since it is divisible by the number (20) 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 2013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2013960 is an abundant number, since it is smaller than the sum of its proper divisors (4497720).

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

2013960 is a wasteful number, since it uses less digits than its factorization.

2013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2013960 is about 1419.1405850021. The cubic root of 2013960 is about 126.2845672101.

The spelling of 2013960 in words is "two million, thirteen thousand, nine hundred sixty".