1948407168 has 64 divisors (see below), whose sum is σ = 5252771520. Its totient is φ = 639767040.

The previous prime is 1948407163. The next prime is 1948407199. The reversal of 1948407168 is 8617048491.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948407163) 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 7 ways as a sum of consecutive naturals, for example, 12138 + ... + 63593.

It is an arithmetic number, because the mean of its divisors is an integer number (82074555).

Almost surely, 2^1948407168 is an apocalyptic number.

It is an amenable number.

1948407168 is an abundant number, since it is smaller than the sum of its proper divisors (3304364352).

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

1948407168 is an equidigital number, since it uses as much as digits as its factorization.

1948407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815 (or 75803 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1948407168 is about 44140.7653762370. The cubic root of 1948407168 is about 1248.9927176973.

The spelling of 1948407168 in words is "one billion, nine hundred forty-eight million, four hundred seven thousand, one hundred sixty-eight".