2964864 has 64 divisors (see below), whose sum is σ = 9008640. Its totient is φ = 846336.

The previous prime is 2964859. The next prime is 2964869. The reversal of 2964864 is 4684692.

It is an interprime number because it is at equal distance from previous prime (2964859) and next prime (2964869).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964869) 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, 2137 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (140760).

2^2964864 is an apocalyptic number.

2964864 is a gapful number since it is divisible by the number (24) 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 2964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504320).

2964864 is an abundant number, since it is smaller than the sum of its proper divisors (6043776).

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

2964864 is a wasteful number, since it uses less digits than its factorization.

2964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1115 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2964864 is about 1721.8780444619. The cubic root of 2964864 is about 143.6596902194.

It can be divided in two parts, 2964 and 864, that added together give a triangular number (3828 = T₈₇).

The spelling of 2964864 in words is "two million, nine hundred sixty-four thousand, eight hundred sixty-four".