19948950 has 96 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 4557600.

The previous prime is 19948949. The next prime is 19948961. The reversal of 19948950 is 5984991.

It is a super-2 number, since 2×19948950² = 795921212205000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19948896 and 19948905.

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 47 ways as a sum of consecutive naturals, for example, 8395 + ... + 10505.

It is an arithmetic number, because the mean of its divisors is an integer number (654720).

Almost surely, 2^19948950 is an apocalyptic number.

19948950 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 19948950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

19948950 is an abundant number, since it is smaller than the sum of its proper divisors (42904170).

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

19948950 is a wasteful number, since it uses less digits than its factorization.

19948950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 19948950 is about 4466.4247446923. The cubic root of 19948950 is about 271.2106131801.

The spelling of 19948950 in words is "nineteen million, nine hundred forty-eight thousand, nine hundred fifty".