18800096 has 48 divisors (see below), whose sum is σ = 44797536. Its totient is φ = 7581696.

The previous prime is 18800087. The next prime is 18800137. The reversal of 18800096 is 69000881.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (933282).

Almost surely, 2^18800096 is an apocalyptic number.

18800096 is a gapful number since it is divisible by the number (16) 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 18800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398768).

18800096 is an abundant number, since it is smaller than the sum of its proper divisors (25997440).

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

18800096 is a wasteful number, since it uses less digits than its factorization.

18800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 18800096 is about 4335.9077480961. The cubic root of 18800096 is about 265.9010316429.

The spelling of 18800096 in words is "eighteen million, eight hundred thousand, ninety-six".