2967690 has 96 divisors (see below), whose sum is σ = 8600256. Its totient is φ = 647680.

The previous prime is 2967689. The next prime is 2967691. The reversal of 2967690 is 967692.

It is an interprime number because it is at equal distance from previous prime (2967689) and next prime (2967691).

It is a super-2 number, since 2×2967690² = 17614367872200, which contains 22 as substring.

It is an Ulam number.

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 47 ways as a sum of consecutive naturals, for example, 129019 + ... + 129041.

It is an arithmetic number, because the mean of its divisors is an integer number (89586).

2^2967690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300128).

2967690 is an abundant number, since it is smaller than the sum of its proper divisors (5632566).

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

2967690 is a wasteful number, since it uses less digits than its factorization.

2967690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

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

The square root of 2967690 is about 1722.6984646188. The cubic root of 2967690 is about 143.7053194471.

The spelling of 2967690 in words is "two million, nine hundred sixty-seven thousand, six hundred ninety".