2967120 has 120 divisors (see below), whose sum is σ = 10764936. Its totient is φ = 728064.

The previous prime is 2967119. The next prime is 2967131. The reversal of 2967120 is 217692.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 2903616 = 252^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 9 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9202 + ... + 9518.

2^2967120 is an apocalyptic number.

2967120 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 2967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382468).

2967120 is an abundant number, since it is smaller than the sum of its proper divisors (7797816).

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

2967120 is a wasteful number, since it uses less digits than its factorization.

2967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2967120 is about 1722.5330185515. The cubic root of 2967120 is about 143.6961184325.

The spelling of 2967120 in words is "two million, nine hundred sixty-seven thousand, one hundred twenty".