18672564 has 24 divisors (see below), whose sum is σ = 43817760. Its totient is φ = 6188704.

The previous prime is 18672559. The next prime is 18672569. The reversal of 18672564 is 46527681.

18672564 = T₁₂₇ + T₁₂₈ + ... + T₄₈₄.

It is an interprime number because it is at equal distance from previous prime (18672559) and next prime (18672569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18672569) 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, 2199 + ... + 6494.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 2^18672564 is an apocalyptic number.

It is an amenable number.

18672564 is an abundant number, since it is smaller than the sum of its proper divisors (25145196).

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

18672564 is a wasteful number, since it uses less digits than its factorization.

18672564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8877 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 18672564 is about 4321.1762287599. The cubic root of 18672564 is about 265.2984130931.

The spelling of 18672564 in words is "eighteen million, six hundred seventy-two thousand, five hundred sixty-four".