18212480 has 128 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 6082560.

The previous prime is 18212477. The next prime is 18212489. The reversal of 18212480 is 8421281.

18212480 = T₄₆₃ + T₄₆₄ + ... + T₅₉₂.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18212489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91421 + ... + 91619.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 2^18212480 is an apocalyptic number.

18212480 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 18212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

18212480 is an abundant number, since it is smaller than the sum of its proper divisors (33195520).

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

18212480 is a wasteful number, since it uses less digits than its factorization.

18212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 18212480 is about 4267.6082294419. The cubic root of 18212480 is about 263.1013213967.

The spelling of 18212480 in words is "eighteen million, two hundred twelve thousand, four hundred eighty".