19765950 has 48 divisors (see below), whose sum is σ = 49292976. Its totient is φ = 5241600.

The previous prime is 19765943. The next prime is 19765957. The reversal of 19765950 is 5956791.

It is an interprime number because it is at equal distance from previous prime (19765943) and next prime (19765957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19765957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46740 + ... + 47160.

It is an arithmetic number, because the mean of its divisors is an integer number (1026937).

Almost surely, 2^19765950 is an apocalyptic number.

19765950 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 19765950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24646488).

19765950 is an abundant number, since it is smaller than the sum of its proper divisors (29527026).

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

19765950 is a wasteful number, since it uses less digits than its factorization.

19765950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 19765950 is about 4445.8913616956. The cubic root of 19765950 is about 270.3787551292.

The spelling of 19765950 in words is "nineteen million, seven hundred sixty-five thousand, nine hundred fifty".