2968064 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 1228800.

The previous prime is 2968057. The next prime is 2968099. The reversal of 2968064 is 4608692.

2968064 = 29³ + 30³ + ... + 59³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95729 + ... + 95759.

2^2968064 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 2968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2968064 is an abundant number, since it is smaller than the sum of its proper divisors (4102912).

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

2968064 is a wasteful number, since it uses less digits than its factorization.

2968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2968064 is about 1722.8070118269. The cubic root of 2968064 is about 143.7113559639.

The spelling of 2968064 in words is "two million, nine hundred sixty-eight thousand, sixty-four".