11963952 has 240 divisors, whose sum is σ = 45497088. Its totient is φ = 2833920.

The previous prime is 11963947. The next prime is 11963953. The reversal of 11963952 is 25936911.

11963952 is a `hidden beast` number, since 1 + 19 + 639 + 5 + 2 = 666.

It is a super-2 number, since 2×11963952² = 286272294916608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11963953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144103 + ... + 144185.

Almost surely, 2^11963952 is an apocalyptic number.

11963952 is a gapful number since it is divisible by the number (12) 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 11963952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

11963952 is an abundant number, since it is smaller than the sum of its proper divisors (33533136).

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

11963952 is a wasteful number, since it uses less digits than its factorization.

11963952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 11963952 is about 3458.8946211181. The cubic root of 11963952 is about 228.7133704674.

The spelling of 11963952 in words is "eleven million, nine hundred sixty-three thousand, nine hundred fifty-two".