19929000 has 256 divisors, whose sum is σ = 77575680. Its totient is φ = 4147200.

The previous prime is 19928999. The next prime is 19929031. The reversal of 19929000 is 92991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272964 + ... + 273036.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^19929000 is an apocalyptic number.

19929000 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 19929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787840).

19929000 is an abundant number, since it is smaller than the sum of its proper divisors (57646680).

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

19929000 is a wasteful number, since it uses less digits than its factorization.

19929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 19929000 is about 4464.1908561351. The cubic root of 19929000 is about 271.1201747296.

The spelling of 19929000 in words is "nineteen million, nine hundred twenty-nine thousand".