18674400 has 144 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 4800000.

The previous prime is 18674399. The next prime is 18674401. The reversal of 18674400 is 447681.

It is an interprime number because it is at equal distance from previous prime (18674399) and next prime (18674401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18674401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74275 + ... + 74525.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^18674400 is an apocalyptic number.

18674400 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 18674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

18674400 is an abundant number, since it is smaller than the sum of its proper divisors (44321568).

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

18674400 is a wasteful number, since it uses less digits than its factorization.

18674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 18674400 is about 4321.3886656953. The cubic root of 18674400 is about 265.3071080590.

It can be divided in two parts, 186 and 74400, that multiplied together give a square (13838400 = 3720²).

The spelling of 18674400 in words is "eighteen million, six hundred seventy-four thousand, four hundred".