18395040 has 96 divisors (see below), whose sum is σ = 61024320. Its totient is φ = 4644864.

The previous prime is 18395033. The next prime is 18395053. The reversal of 18395040 is 4059381.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18394989 and 18395007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8112 + ... + 10128.

It is an arithmetic number, because the mean of its divisors is an integer number (635670).

Almost surely, 2^18395040 is an apocalyptic number.

18395040 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 18395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30512160).

18395040 is an abundant number, since it is smaller than the sum of its proper divisors (42629280).

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

18395040 is a wasteful number, since it uses less digits than its factorization.

18395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 18395040 is about 4288.9439259566. The cubic root of 18395040 is about 263.9775003782.

The spelling of 18395040 in words is "eighteen million, three hundred ninety-five thousand, forty".