18742500 has 270 divisors, whose sum is σ = 72918846. Its totient is φ = 4032000.

The previous prime is 18742487. The next prime is 18742501. The reversal of 18742500 is 524781.

It can be written as a sum of positive squares in 5 ways, for example, as 4769856 + 13972644 = 2184^2 + 3738^2 .

It is not an unprimeable number, because it can be changed into a prime (18742501) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1102492 + ... + 1102508.

Almost surely, 2^18742500 is an apocalyptic number.

18742500 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 18742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459423).

18742500 is an abundant number, since it is smaller than the sum of its proper divisors (54176346).

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

18742500 is a wasteful number, since it uses less digits than its factorization.

18742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18742500 is about 4329.2609068985. The cubic root of 18742500 is about 265.6292156194.

The spelling of 18742500 in words is "eighteen million, seven hundred forty-two thousand, five hundred".