19948905 has 48 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 9867264.

The previous prime is 19948867. The next prime is 19948909. The reversal of 19948905 is 50984991.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 19263321 = 828^2 + 4389^2 .

It is not a de Polignac number, because 19948905 - 2²² = 15754601 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (19948909) by changing a digit.

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, 67939 + ... + 68231.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^19948905 is an apocalyptic number.

19948905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19948905 is a deficient number, since it is larger than the sum of its proper divisors (17200935).

19948905 is a wasteful number, since it uses less digits than its factorization.

19948905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

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

The square root of 19948905 is about 4466.4197071032. The cubic root of 19948905 is about 271.2104092514.

The spelling of 19948905 in words is "nineteen million, nine hundred forty-eight thousand, nine hundred five".