11981952 has 64 divisors (see below), whose sum is σ = 35373600. Its totient is φ = 3992832.

The previous prime is 11981941. The next prime is 11981971. The reversal of 11981952 is 25918911.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723 + ... + 5189.

Almost surely, 2^11981952 is an apocalyptic number.

11981952 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 11981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686800).

11981952 is an abundant number, since it is smaller than the sum of its proper divisors (23391648).

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

11981952 is an equidigital number, since it uses as much as digits as its factorization.

11981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3472 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 11981952 is about 3461.4956305042. The cubic root of 11981952 is about 228.8280142398.

The spelling of 11981952 in words is "eleven million, nine hundred eighty-one thousand, nine hundred fifty-two".