2964960 has 144 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 752640.

The previous prime is 2964947. The next prime is 2964967. The reversal of 2964960 is 694692.

2964960 is a `hidden beast` number, since 2 + 9 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41725 + ... + 41795.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2964960 is an apocalyptic number.

2964960 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 2964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

2964960 is an abundant number, since it is smaller than the sum of its proper divisors (7649280).

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

2964960 is a wasteful number, since it uses less digits than its factorization.

2964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2964960 is about 1721.9059207750. The cubic root of 2964960 is about 143.6612407325.

The spelling of 2964960 in words is "two million, nine hundred sixty-four thousand, nine hundred sixty".