2966436 has 72 divisors (see below), whose sum is σ = 8490720. Its totient is φ = 894960.

The previous prime is 2966419. The next prime is 2966479. The reversal of 2966436 is 6346692.

2966436 is a `hidden beast` number, since 2 + 9 + 6 + 643 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (46656) is a multiple of the sum of its prime divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 2966436.

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, 12955 + ... + 13181.

2^2966436 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 2966436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245360).

2966436 is an abundant number, since it is smaller than the sum of its proper divisors (5524284).

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

2966436 is a wasteful number, since it uses less digits than its factorization.

2966436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2966436 is about 1722.3344622924. The cubic root of 2966436 is about 143.6850756594.

The spelling of 2966436 in words is "two million, nine hundred sixty-six thousand, four hundred thirty-six".