19650 has 24 divisors (see below), whose sum is σ = 49104. Its totient is φ = 5200.

The previous prime is 19609. The next prime is 19661. The reversal of 19650 is 5691.

It is a super-2 number, since 2×19650² = 772245000, which contains 22 as substring.

It is a cake number, because a cake can be divided into 19650 parts by 49 planar cuts.

It is a Curzon number.

It is an unprimeable number.

19650 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2046).

2¹⁹⁶⁵⁰ is an apocalyptic number.

19650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552).

19650 is an abundant number, since it is smaller than the sum of its proper divisors (29454).

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

19650 is a wasteful number, since it uses less digits than its factorization.

19650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 19650 is about 140.1784576888. The cubic root of 19650 is about 26.9849023962.

The spelling of 19650 in words is "nineteen thousand, six hundred fifty".