1948407768 has 48 divisors (see below), whose sum is σ = 5279068080. Its totient is φ = 649207104.

The previous prime is 1948407749. The next prime is 1948407793. The reversal of 1948407768 is 8677048491.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269821 + ... + 276947.

It is an arithmetic number, because the mean of its divisors is an integer number (109980585).

Almost surely, 2^1948407768 is an apocalyptic number.

1948407768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1948407768 is an abundant number, since it is smaller than the sum of its proper divisors (3330660312).

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

1948407768 is a wasteful number, since it uses less digits than its factorization.

1948407768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1948407768 is about 44140.7721726750. The cubic root of 1948407768 is about 1248.9928459038.

The spelling of 1948407768 in words is "one billion, nine hundred forty-eight million, four hundred seven thousand, seven hundred sixty-eight".