1948791936 has 384 divisors, whose sum is σ = 6720053760. Its totient is φ = 495452160.

The previous prime is 1948791907. The next prime is 1948791937. The reversal of 1948791936 is 6391978491.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1948791937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582720 + ... + 7582976.

It is an arithmetic number, because the mean of its divisors is an integer number (17500140).

Almost surely, 2^1948791936 is an apocalyptic number.

1948791936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360026880).

1948791936 is an abundant number, since it is smaller than the sum of its proper divisors (4771261824).

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

1948791936 is a wasteful number, since it uses less digits than its factorization.

1948791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 1948791936 is about 44145.1235812066. The cubic root of 1948791936 is about 1249.0749285765.

The spelling of 1948791936 in words is "one billion, nine hundred forty-eight million, seven hundred ninety-one thousand, nine hundred thirty-six".