11952864 has 216 divisors, whose sum is σ = 43570800. Its totient is φ = 3104640.

The previous prime is 11952851. The next prime is 11952883. The reversal of 11952864 is 46825911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1086619 + ... + 1086629.

Almost surely, 2^11952864 is an apocalyptic number.

11952864 is a gapful number since it is divisible by the number (14) 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 11952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

11952864 is an abundant number, since it is smaller than the sum of its proper divisors (31617936).

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

11952864 is a wasteful number, since it uses less digits than its factorization.

11952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11952864 is about 3457.2914253791. The cubic root of 11952864 is about 228.6426926599.

The spelling of 11952864 in words is "eleven million, nine hundred fifty-two thousand, eight hundred sixty-four".