2967696 has 60 divisors (see below), whose sum is σ = 8545212. Its totient is φ = 960768.

The previous prime is 2967691. The next prime is 2967697. The reversal of 2967696 is 6967692.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 1527696 = 1200^2 + 1236^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5050 + ... + 5606.

2^2967696 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 2967696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272606).

2967696 is an abundant number, since it is smaller than the sum of its proper divisors (5577516).

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

2967696 is a wasteful number, since it uses less digits than its factorization.

2967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 2967696 is about 1722.7002060719. The cubic root of 2967696 is about 143.7054162936.

It can be divided in two parts, 2967 and 696, that added together give a palindrome (3663).

The spelling of 2967696 in words is "two million, nine hundred sixty-seven thousand, six hundred ninety-six".