19991952 has 60 divisors (see below), whose sum is σ = 58902480. Its totient is φ = 6312384.

The previous prime is 19991911. The next prime is 19991963. The reversal of 19991952 is 25919991.

It is a junction number, because it is equal to n+sod(n) for n = 19991898 and 19991907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 2^19991952 is an apocalyptic number.

19991952 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 19991952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451240).

19991952 is an abundant number, since it is smaller than the sum of its proper divisors (38910528).

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

19991952 is a wasteful number, since it uses less digits than its factorization.

19991952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7331 counting only the distinct ones).

The product of its digits is 65610, while the sum is 45.

The square root of 19991952 is about 4471.2360707080. The cubic root of 19991952 is about 271.4053473864.

The spelling of 19991952 in words is "nineteen million, nine hundred ninety-one thousand, nine hundred fifty-two".