1948677696 has 448 divisors, whose sum is σ = 7055104000. Its totient is φ = 515082240.

The previous prime is 1948677667. The next prime is 1948677719. The reversal of 1948677696 is 6967768491.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14019195 + ... + 14019333.

It is an arithmetic number, because the mean of its divisors is an integer number (15748000).

Almost surely, 2^1948677696 is an apocalyptic number.

1948677696 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 1948677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527552000).

1948677696 is an abundant number, since it is smaller than the sum of its proper divisors (5106426304).

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

1948677696 is a wasteful number, since it uses less digits than its factorization.

1948677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 1948677696 is about 44143.8296480946. The cubic root of 1948677696 is about 1249.0505207873.

The spelling of 1948677696 in words is "one billion, nine hundred forty-eight million, six hundred seventy-seven thousand, six hundred ninety-six".