19993950 has 72 divisors (see below), whose sum is σ = 54250248. Its totient is φ = 5279040.

The previous prime is 19993943. The next prime is 19993951. The reversal of 19993950 is 5939991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19993896 and 19993905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70509 + ... + 70791.

Almost surely, 2^19993950 is an apocalyptic number.

19993950 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 19993950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125124).

19993950 is an abundant number, since it is smaller than the sum of its proper divisors (34256298).

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

19993950 is a wasteful number, since it uses less digits than its factorization.

19993950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 19993950 is about 4471.4594932751. The cubic root of 19993950 is about 271.4143885215.

It can be divided in two parts, 199 and 93950, that added together give a palindrome (94149).

The spelling of 19993950 in words is "nineteen million, nine hundred ninety-three thousand, nine hundred fifty".