11996628 has 96 divisors (see below), whose sum is σ = 35094528. Its totient is φ = 3110400.

The previous prime is 11996627. The next prime is 11996629. The reversal of 11996628 is 82669911.

It is an interprime number because it is at equal distance from previous prime (11996627) and next prime (11996629).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11996628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44133 + ... + 44403.

It is an arithmetic number, because the mean of its divisors is an integer number (365568).

Almost surely, 2^11996628 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 11996628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547264).

11996628 is an abundant number, since it is smaller than the sum of its proper divisors (23097900).

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

11996628 is a wasteful number, since it uses less digits than its factorization.

11996628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 11996628 is about 3463.6148746649. The cubic root of 11996628 is about 228.9214021883.

The spelling of 11996628 in words is "eleven million, nine hundred ninety-six thousand, six hundred twenty-eight".