18661752 has 80 divisors (see below), whose sum is σ = 54014400. Its totient is φ = 6013440.

The previous prime is 18661751. The next prime is 18661771. The reversal of 18661752 is 25716681.

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 (18661751) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19624 + ... + 20552.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^18661752 is an apocalyptic number.

18661752 is a gapful number since it is divisible by the number (12) 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 18661752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007200).

18661752 is an abundant number, since it is smaller than the sum of its proper divisors (35352648).

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

18661752 is a wasteful number, since it uses less digits than its factorization.

18661752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 18661752 is about 4319.9249993489. The cubic root of 18661752 is about 265.2471978403.

The spelling of 18661752 in words is "eighteen million, six hundred sixty-one thousand, seven hundred fifty-two".