11376864 has 36 divisors (see below), whose sum is σ = 32353776. Its totient is φ = 3792192.

The previous prime is 11376809. The next prime is 11376889. The reversal of 11376864 is 46867311.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 19464 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (898716).

Almost surely, 2^11376864 is an apocalyptic number.

It is an amenable number.

11376864 is an abundant number, since it is smaller than the sum of its proper divisors (20976912).

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

11376864 is a wasteful number, since it uses less digits than its factorization.

11376864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39519 (or 39508 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11376864 is about 3372.9607172335. The cubic root of 11376864 is about 224.9093560805.

It can be divided in two parts, 1137 and 6864, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 11376864 in words is "eleven million, three hundred seventy-six thousand, eight hundred sixty-four".