2968160 has 48 divisors (see below), whose sum is σ = 7556976. Its totient is φ = 1095168.

The previous prime is 2968139. The next prime is 2968169. The reversal of 2968160 is 618692.

2968160 = T₁₀₇ + T₁₀₈ + ... + T₂₆₆.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968169) 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, 1367 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (157437).

2^2968160 is an apocalyptic number.

2968160 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 2968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778488).

2968160 is an abundant number, since it is smaller than the sum of its proper divisors (4588816).

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

2968160 is a wasteful number, since it uses less digits than its factorization.

2968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2968160 is about 1722.8348731089. The cubic root of 2968160 is about 143.7129053624.

The spelling of 2968160 in words is "two million, nine hundred sixty-eight thousand, one hundred sixty".