19252080 has 100 divisors (see below), whose sum is σ = 66887832. Its totient is φ = 5132160.

The previous prime is 19252069. The next prime is 19252087. The reversal of 19252080 is 8025291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19252087) 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 19 ways as a sum of consecutive naturals, for example, 4995 + ... + 7965.

Almost surely, 2^19252080 is an apocalyptic number.

19252080 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 19252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33443916).

19252080 is an abundant number, since it is smaller than the sum of its proper divisors (47635752).

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

19252080 is a wasteful number, since it uses less digits than its factorization.

19252080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19252080 is about 4387.7192252923. The cubic root of 19252080 is about 268.0150730365.

It can be divided in two parts, 1925 and 2080, that added together give a triangular number (4005 = T₈₉).

The spelling of 19252080 in words is "nineteen million, two hundred fifty-two thousand, eighty".