18961848 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5880384.

The previous prime is 18961847. The next prime is 18961879. The reversal of 18961848 is 84816981.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18961843) 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 23 ways as a sum of consecutive naturals, for example, 113461 + ... + 113627.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^18961848 is an apocalyptic number.

18961848 is a gapful number since it is divisible by the number (18) 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 18961848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

18961848 is an abundant number, since it is smaller than the sum of its proper divisors (36074952).

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

18961848 is a wasteful number, since it uses less digits than its factorization.

18961848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 18961848 is about 4354.5204098729. The cubic root of 18961848 is about 266.6614401753.

The spelling of 18961848 in words is "eighteen million, nine hundred sixty-one thousand, eight hundred forty-eight".