11882976 has 48 divisors (see below), whose sum is σ = 35650944. Its totient is φ = 3394944.

The previous prime is 11882947. The next prime is 11882977. The reversal of 11882976 is 67928811.

11882976 = 399² + 400² + ... + 462².

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882977) 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 7 ways as a sum of consecutive naturals, for example, 8170 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (742728).

Almost surely, 2^11882976 is an apocalyptic number.

11882976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11882976 is an abundant number, since it is smaller than the sum of its proper divisors (23767968).

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

11882976 is a wasteful number, since it uses less digits than its factorization.

11882976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17703 (or 17695 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 11882976 is about 3447.1692734764. The cubic root of 11882976 is about 228.1961992309.

The spelling of 11882976 in words is "eleven million, eight hundred eighty-two thousand, nine hundred seventy-six".