18958860 has 144 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 4888512.

The previous prime is 18958817. The next prime is 18958867. The reversal of 18958860 is 6885981.

18958860 is a `hidden beast` number, since 1 + 8 + 9 + 588 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18958867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228379 + ... + 228461.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 2^18958860 is an apocalyptic number.

18958860 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 18958860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

18958860 is an abundant number, since it is smaller than the sum of its proper divisors (42682356).

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

18958860 is a wasteful number, since it uses less digits than its factorization.

18958860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 18958860 is about 4354.1773046122. The cubic root of 18958860 is about 266.6474326405.

It can be divided in two parts, 189 and 58860, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 18958860 in words is "eighteen million, nine hundred fifty-eight thousand, eight hundred sixty".