11992896 has 84 divisors (see below), whose sum is σ = 35186112. Its totient is φ = 3903744.

The previous prime is 11992891. The next prime is 11992901. The reversal of 11992896 is 69829911.

It is an interprime number because it is at equal distance from previous prime (11992891) and next prime (11992901).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11992891) 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, 26851 + ... + 27293.

Almost surely, 2^11992896 is an apocalyptic number.

11992896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593056).

11992896 is an abundant number, since it is smaller than the sum of its proper divisors (23193216).

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

11992896 is a wasteful number, since it uses less digits than its factorization.

11992896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 11992896 is about 3463.0760892594. The cubic root of 11992896 is about 228.8976615372.

It can be divided in two parts, 1199 and 2896, that added together give a triangular number (4095 = T₉₀).

The spelling of 11992896 in words is "eleven million, nine hundred ninety-two thousand, eight hundred ninety-six".