11892816 has 60 divisors (see below), whose sum is σ = 35849268. Its totient is φ = 3658752.

The previous prime is 11892791. The next prime is 11892823. The reversal of 11892816 is 61829811.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 8433216 = 1860^2 + 2904^2 .

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 1305 + ... + 5048.

Almost surely, 2^11892816 is an apocalyptic number.

11892816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11892816 is an abundant number, since it is smaller than the sum of its proper divisors (23956452).

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

11892816 is a wasteful number, since it uses less digits than its factorization.

11892816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6371 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11892816 is about 3448.5962361517. The cubic root of 11892816 is about 228.2591697383.

It can be divided in two parts, 1189 and 2816, that added together give a triangular number (4005 = T₈₉).

The spelling of 11892816 in words is "eleven million, eight hundred ninety-two thousand, eight hundred sixteen".