2968560 has 240 divisors, whose sum is σ = 12380160. Its totient is φ = 622080.

The previous prime is 2968549. The next prime is 2968573. The reversal of 2968560 is 658692.

2968560 is a `hidden beast` number, since 2 + 96 + 8 + 560 = 666.

2968560 is digitally balanced in base 8, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

2968560 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95745 + ... + 95775.

It is an arithmetic number, because the mean of its divisors is an integer number (51584).

2^2968560 is an apocalyptic number.

2968560 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 2968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

2968560 is an abundant number, since it is smaller than the sum of its proper divisors (9411600).

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

2968560 is a wasteful number, since it uses less digits than its factorization.

2968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2968560 is about 1722.9509569341. The cubic root of 2968560 is about 143.7193608298.

The spelling of 2968560 in words is "two million, nine hundred sixty-eight thousand, five hundred sixty".