2967960 has 32 divisors (see below), whose sum is σ = 8904240. Its totient is φ = 791424.

The previous prime is 2967953. The next prime is 2967967. The reversal of 2967960 is 697692.

It is an interprime number because it is at equal distance from previous prime (2967953) and next prime (2967967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967967) 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, 12247 + ... + 12486.

2^2967960 is an apocalyptic number.

2967960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2967960 is an abundant number, since it is smaller than the sum of its proper divisors (5936280).

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

2967960 is a wasteful number, since it uses less digits than its factorization.

2967960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24747 (or 24743 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2967960 is about 1722.7768282630. The cubic root of 2967960 is about 143.7096774112.

It can be divided in two parts, 296 and 7960, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 2967960 in words is "two million, nine hundred sixty-seven thousand, nine hundred sixty".