18746240 has 64 divisors (see below), whose sum is σ = 47478960. Its totient is φ = 7053312.

The previous prime is 18746207. The next prime is 18746243. The reversal of 18746240 is 4264781.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 18746197 and 18746206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18746243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10019 + ... + 11741.

Almost surely, 2^18746240 is an apocalyptic number.

18746240 is a gapful number since it is divisible by the number (10) 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 18746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739480).

18746240 is an abundant number, since it is smaller than the sum of its proper divisors (28732720).

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

18746240 is a wasteful number, since it uses less digits than its factorization.

18746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 18746240 is about 4329.6928297513. The cubic root of 18746240 is about 265.6468829031.

The spelling of 18746240 in words is "eighteen million, seven hundred forty-six thousand, two hundred forty".