18474624 has 192 divisors, whose sum is σ = 63648000. Its totient is φ = 5031936.

The previous prime is 18474623. The next prime is 18474637. The reversal of 18474624 is 42647481.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18474623) 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, 233817 + ... + 233895.

It is an arithmetic number, because the mean of its divisors is an integer number (331500).

Almost surely, 2^18474624 is an apocalyptic number.

18474624 is a gapful number since it is divisible by the number (14) 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 18474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

18474624 is an abundant number, since it is smaller than the sum of its proper divisors (45173376).

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

18474624 is a wasteful number, since it uses less digits than its factorization.

18474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 18474624 is about 4298.2117211696. The cubic root of 18474624 is about 264.3576420037.

The spelling of 18474624 in words is "eighteen million, four hundred seventy-four thousand, six hundred twenty-four".