18975840 has 96 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 4669440.

The previous prime is 18975833. The next prime is 18975871. The reversal of 18975840 is 4857981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 18975792 and 18975801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 7760.

It is an arithmetic number, because the mean of its divisors is an integer number (670761).

Almost surely, 2^18975840 is an apocalyptic number.

18975840 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 18975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

18975840 is an abundant number, since it is smaller than the sum of its proper divisors (45417216).

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

18975840 is a wasteful number, since it uses less digits than its factorization.

18975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 18975840 is about 4356.1267199199. The cubic root of 18975840 is about 266.7270141199.

The spelling of 18975840 in words is "eighteen million, nine hundred seventy-five thousand, eight hundred forty".