2967936 has 64 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 965120.

The previous prime is 2967919. The next prime is 2967953. The reversal of 2967936 is 6397692.

It is an interprime number because it is at equal distance from previous prime (2967919) and next prime (2967953).

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

It is a d-powerful number, because it can be written as 2²¹ + 9 + 6 + 7³ + 9⁵ + 3¹² + 6⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22591 + ... + 22721.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

2^2967936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

2967936 is an abundant number, since it is smaller than the sum of its proper divisors (5110464).

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

2967936 is a wasteful number, since it uses less digits than its factorization.

2967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 2967936 is about 1722.7698627501. The cubic root of 2967936 is about 143.7092900473.

The spelling of 2967936 in words is "two million, nine hundred sixty-seven thousand, nine hundred thirty-six".