11906784 has 48 divisors (see below), whose sum is σ = 34730640. Its totient is φ = 3968640.

The previous prime is 11906777. The next prime is 11906809. The reversal of 11906784 is 48760911.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6027 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (723555).

Almost surely, 2^11906784 is an apocalyptic number.

It is an amenable number.

11906784 is an abundant number, since it is smaller than the sum of its proper divisors (22823856).

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

11906784 is a wasteful number, since it uses less digits than its factorization.

11906784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11906784 is about 3450.6208137087. The cubic root of 11906784 is about 228.3484975218.

It can be divided in two parts, 119067 and 84, that multiplied together give a triangular number (10001628 = T₄₄₇₂).

The spelling of 11906784 in words is "eleven million, nine hundred six thousand, seven hundred eighty-four".