18766480 has 40 divisors (see below), whose sum is σ = 45142200. Its totient is φ = 7246848.

The previous prime is 18766463. The next prime is 18766481. The reversal of 18766480 is 8466781.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 18766224 = 16^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18766481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725 + ... + 6364.

It is an arithmetic number, because the mean of its divisors is an integer number (1128555).

Almost surely, 2^18766480 is an apocalyptic number.

18766480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18766480 is an abundant number, since it is smaller than the sum of its proper divisors (26375720).

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

18766480 is a wasteful number, since it uses less digits than its factorization.

18766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 18766480 is about 4332.0295474523. The cubic root of 18766480 is about 265.7424533397.

The spelling of 18766480 in words is "eighteen million, seven hundred sixty-six thousand, four hundred eighty".