19900512 has 96 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6410880.

The previous prime is 19900501. The next prime is 19900537. The reversal of 19900512 is 21500991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 26413 + ... + 27155.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^19900512 is an apocalyptic number.

19900512 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 19900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

19900512 is an abundant number, since it is smaller than the sum of its proper divisors (40095648).

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

19900512 is a wasteful number, since it uses less digits than its factorization.

19900512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 19900512 is about 4460.9989912575. The cubic root of 19900512 is about 270.9909266535.

The spelling of 19900512 in words is "nineteen million, nine hundred thousand, five hundred twelve".