19752096 has 288 divisors, whose sum is σ = 72394560. Its totient is φ = 4644864.

The previous prime is 19752071. The next prime is 19752107. The reversal of 19752096 is 69025791.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039575 + ... + 1039593.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^19752096 is an apocalyptic number.

19752096 is a gapful number since it is divisible by the number (16) 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 19752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

19752096 is an abundant number, since it is smaller than the sum of its proper divisors (52642464).

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

19752096 is a wasteful number, since it uses less digits than its factorization.

19752096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 19752096 is about 4444.3330208255. Note that the first 3 decimals coincide. The cubic root of 19752096 is about 270.3155706669.

The spelling of 19752096 in words is "nineteen million, seven hundred fifty-two thousand, ninety-six".