2616960 has 128 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 659456.

The previous prime is 2616959. The next prime is 2617001. The reversal of 2616960 is 696162.

2616960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 55657 + ... + 55703.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2^2616960 is an apocalyptic number.

2616960 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 2616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2616960 is an abundant number, since it is smaller than the sum of its proper divisors (6195840).

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

2616960 is a wasteful number, since it uses less digits than its factorization.

2616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2616960 is about 1617.7020739308. The cubic root of 2616960 is about 137.8052282762.

The spelling of 2616960 in words is "two million, six hundred sixteen thousand, nine hundred sixty".