11878464 has 56 divisors (see below), whose sum is σ = 33853120. Its totient is φ = 3654144.

The previous prime is 11878457. The next prime is 11878501. The reversal of 11878464 is 46487811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (604520).

Almost surely, 2^11878464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926560).

11878464 is an abundant number, since it is smaller than the sum of its proper divisors (21974656).

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

11878464 is a wasteful number, since it uses less digits than its factorization.

11878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4777 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 11878464 is about 3446.5147613205. The cubic root of 11878464 is about 228.1673133246.

It can be divided in two parts, 11 and 878464, that added together give a triangular number (878475 = T₁₃₂₅).

The spelling of 11878464 in words is "eleven million, eight hundred seventy-eight thousand, four hundred sixty-four".