11952976 has 80 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 4700160.

The previous prime is 11952973. The next prime is 11952979. The reversal of 11952976 is 67925911.

11952976 = T₇₄₃ + T₇₄₄ + ... + T₇₈₃.

It is an interprime number because it is at equal distance from previous prime (11952973) and next prime (11952979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952973) 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 15 ways as a sum of consecutive naturals, for example, 87180 + ... + 87316.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 2^11952976 is an apocalyptic number.

11952976 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 11952976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

11952976 is an abundant number, since it is smaller than the sum of its proper divisors (16795184).

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

11952976 is a wasteful number, since it uses less digits than its factorization.

11952976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 34020, while the sum is 40.

The square root of 11952976 is about 3457.3076229922. The cubic root of 11952976 is about 228.6434067956.

The spelling of 11952976 in words is "eleven million, nine hundred fifty-two thousand, nine hundred seventy-six".