2953664 has 56 divisors (see below), whose sum is σ = 7071360. Its totient is φ = 1195776.

The previous prime is 2953661. The next prime is 2953667. The reversal of 2953664 is 4663592.

It is an interprime number because it is at equal distance from previous prime (2953661) and next prime (2953667).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8339 + ... + 8685.

2^2953664 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 2953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535680).

2953664 is an abundant number, since it is smaller than the sum of its proper divisors (4117696).

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

2953664 is a wasteful number, since it uses less digits than its factorization.

2953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 2953664 is about 1718.6227043770. The cubic root of 2953664 is about 143.4785668111.

The spelling of 2953664 in words is "two million, nine hundred fifty-three thousand, six hundred sixty-four".