18464040 has 192 divisors, whose sum is σ = 72783360. Its totient is φ = 3962880.

The previous prime is 18463979. The next prime is 18464051. The reversal of 18464040 is 4046481.

18464040 = T₂₂₄ + T₂₂₅ + ... + T₄₉₅.

18464040 is a `hidden beast` number, since 18 + 4 + 640 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18463995 and 18464013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42625 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 2^18464040 is an apocalyptic number.

18464040 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 18464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

18464040 is an abundant number, since it is smaller than the sum of its proper divisors (54319320).

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

18464040 is a wasteful number, since it uses less digits than its factorization.

18464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 18464040 is about 4296.9803350725. The cubic root of 18464040 is about 264.3071493971.

It can be divided in two parts, 1846 and 4040, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 18464040 in words is "eighteen million, four hundred sixty-four thousand, forty".