18825408 has 252 divisors, whose sum is σ = 67757040. Its totient is φ = 4967424.

The previous prime is 18825407. The next prime is 18825419. The reversal of 18825408 is 80452881.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×18825408³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18825407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 649138 + ... + 649166.

Almost surely, 2^18825408 is an apocalyptic number.

18825408 is a gapful number since it is divisible by the number (18) 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 18825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33878520).

18825408 is an abundant number, since it is smaller than the sum of its proper divisors (48931632).

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

18825408 is a wasteful number, since it uses less digits than its factorization.

18825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 18825408 is about 4338.8256475687. The cubic root of 18825408 is about 266.0203123916.

The spelling of 18825408 in words is "eighteen million, eight hundred twenty-five thousand, four hundred eight".