11789064 has 160 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 3193344.

The previous prime is 11789047. The next prime is 11789081. The reversal of 11789064 is 46098711.

It is an interprime number because it is at equal distance from previous prime (11789047) and next prime (11789081).

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

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 39 ways as a sum of consecutive naturals, for example, 104272 + ... + 104384.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 2^11789064 is an apocalyptic number.

11789064 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 11789064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

11789064 is an abundant number, since it is smaller than the sum of its proper divisors (27937656).

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

11789064 is a wasteful number, since it uses less digits than its factorization.

11789064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

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

The square root of 11789064 is about 3433.5206421398. The cubic root of 11789064 is about 227.5934583611.

The spelling of 11789064 in words is "eleven million, seven hundred eighty-nine thousand, sixty-four".