18689040 has 120 divisors (see below), whose sum is σ = 63632088. Its totient is φ = 4915200.

The previous prime is 18689023. The next prime is 18689051. The reversal of 18689040 is 4098681.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 6411024 = 3504^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×18689040² = 698560432243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18688986 and 18689004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72592 + ... + 72848.

Almost surely, 2^18689040 is an apocalyptic number.

18689040 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 18689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31816044).

18689040 is an abundant number, since it is smaller than the sum of its proper divisors (44943048).

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

18689040 is a wasteful number, since it uses less digits than its factorization.

18689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18689040 is about 4323.0822337772. The cubic root of 18689040 is about 265.3764200853.

Subtracting from 18689040 its product of nonzero digits (13824), we obtain a triangular number (18675216 = T₆₁₁₁).

The spelling of 18689040 in words is "eighteen million, six hundred eighty-nine thousand, forty".