18632480 has 48 divisors (see below), whose sum is σ = 44493624. Its totient is φ = 7372800.

The previous prime is 18632479. The next prime is 18632489. The reversal of 18632480 is 8423681.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 4624 = 4316^2 + 68^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18632489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15584 + ... + 16736.

Almost surely, 2^18632480 is an apocalyptic number.

18632480 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 18632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22246812).

18632480 is an abundant number, since it is smaller than the sum of its proper divisors (25861144).

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

18632480 is a wasteful number, since it uses less digits than its factorization.

18632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 18632480 is about 4316.5356479473. The cubic root of 18632480 is about 265.1084402520.

The spelling of 18632480 in words is "eighteen million, six hundred thirty-two thousand, four hundred eighty".