19752048 has 60 divisors (see below), whose sum is σ = 56065360. Its totient is φ = 6490368.

The previous prime is 19752023. The next prime is 19752059. The reversal of 19752048 is 84025791.

19752048 is a `hidden beast` number, since 1 + 97 + 520 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9573 + ... + 11451.

Almost surely, 2^19752048 is an apocalyptic number.

19752048 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 19752048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032680).

19752048 is an abundant number, since it is smaller than the sum of its proper divisors (36313312).

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

19752048 is a wasteful number, since it uses less digits than its factorization.

19752048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 19752048 is about 4444.3276206868. The cubic root of 19752048 is about 270.3153517001.

The spelling of 19752048 in words is "nineteen million, seven hundred fifty-two thousand, forty-eight".