18749952 has 120 divisors (see below), whose sum is σ = 58462404. Its totient is φ = 5750784.

The previous prime is 18749933. The next prime is 18749959. The reversal of 18749952 is 25994781.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 5089536 = 3696^2 + 2256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18749898 and 18749907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18749959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59748 + ... + 60060.

Almost surely, 2^18749952 is an apocalyptic number.

18749952 is a gapful number since it is divisible by the number (12) 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 18749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29231202).

18749952 is an abundant number, since it is smaller than the sum of its proper divisors (39712452).

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

18749952 is a wasteful number, since it uses less digits than its factorization.

18749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 18749952 is about 4330.1214763561. The cubic root of 18749952 is about 265.6644155950.

It can be divided in two parts, 18749 and 952, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 18749952 in words is "eighteen million, seven hundred forty-nine thousand, nine hundred fifty-two".