18656064 has 126 divisors (see below), whose sum is σ = 62298834. Its totient is φ = 5322240.

The previous prime is 18656009. The next prime is 18656069. The reversal of 18656064 is 46065681.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 1016064 = 4200^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18656069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27894 + ... + 28554.

Almost surely, 2^18656064 is an apocalyptic number.

18656064 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 18656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149417).

18656064 is an abundant number, since it is smaller than the sum of its proper divisors (43642770).

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

18656064 is a wasteful number, since it uses less digits than its factorization.

18656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 18656064 is about 4319.2666044133. The cubic root of 18656064 is about 265.2202464699.

It can be divided in two parts, 186560 and 64, that added together give a square (186624 = 432²).

The spelling of 18656064 in words is "eighteen million, six hundred fifty-six thousand, sixty-four".