1948423680 has 320 divisors, whose sum is σ = 7911636480. Its totient is φ = 445243392.

The previous prime is 1948423657. The next prime is 1948423691. The reversal of 1948423680 is 863248491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481827 + ... + 485853.

It is an arithmetic number, because the mean of its divisors is an integer number (24723864).

Almost surely, 2^1948423680 is an apocalyptic number.

1948423680 is a gapful number since it is divisible by the number (10) 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 1948423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955818240).

1948423680 is an abundant number, since it is smaller than the sum of its proper divisors (5963212800).

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

1948423680 is an equidigital number, since it uses as much as digits as its factorization.

1948423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1948423680 is about 44140.9524138299. The cubic root of 1948423680 is about 1248.9962459313.

The spelling of 1948423680 in words is "one billion, nine hundred forty-eight million, four hundred twenty-three thousand, six hundred eighty".