2953968 has 80 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 898560.

The previous prime is 2953967. The next prime is 2953981. The reversal of 2953968 is 8693592.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (116640) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953961) 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, 37353 + ... + 37431.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2953968 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 2953968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2953968 is an abundant number, since it is smaller than the sum of its proper divisors (5378832).

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

2953968 is a wasteful number, since it uses less digits than its factorization.

2953968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2953968 is about 1718.7111450154. The cubic root of 2953968 is about 143.4834890577.

The spelling of 2953968 in words is "two million, nine hundred fifty-three thousand, nine hundred sixty-eight".