18725960 has 96 divisors (see below), whose sum is σ = 47832120. Its totient is φ = 6589440.

The previous prime is 18725957. The next prime is 18725969. The reversal of 18725960 is 6952781.

18725960 = T₁₂₀ + T₁₂₁ + ... + T₄₈₄.

It can be written as a sum of positive squares in 4 ways, for example, as 16924996 + 1800964 = 4114^2 + 1342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18725969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256484 + ... + 256556.

Almost surely, 2^18725960 is an apocalyptic number.

18725960 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 18725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23916060).

18725960 is an abundant number, since it is smaller than the sum of its proper divisors (29106160).

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

18725960 is a wasteful number, since it uses less digits than its factorization.

18725960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 18725960 is about 4327.3502284886. The cubic root of 18725960 is about 265.5510545725.

The spelling of 18725960 in words is "eighteen million, seven hundred twenty-five thousand, nine hundred sixty".