18148320 has 96 divisors (see below), whose sum is σ = 63534240. Its totient is φ = 4838400.

The previous prime is 18148309. The next prime is 18148331. The reversal of 18148320 is 2384181.

18148320 = 60² + 61² + ... + 379².

18148320 is a `hidden beast` number, since 181 + 483 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18148309) and next prime (18148331).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2220 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (661815).

Almost surely, 2^18148320 is an apocalyptic number.

18148320 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 18148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767120).

18148320 is an abundant number, since it is smaller than the sum of its proper divisors (45385920).

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

18148320 is a wasteful number, since it uses less digits than its factorization.

18148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18148320 is about 4260.0845062041. The cubic root of 18148320 is about 262.7920015914.

It can be divided in two parts, 181483 and 20, that added together give a triangular number (181503 = T₆₀₂).

The spelling of 18148320 in words is "eighteen million, one hundred forty-eight thousand, three hundred twenty".