1948770320 has 80 divisors (see below), whose sum is σ = 5298648960. Its totient is φ = 652603392.

The previous prime is 1948770319. The next prime is 1948770323. The reversal of 1948770320 is 230778491.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1948770320² = 7595411520225804800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948770323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16385 + ... + 64544.

It is an arithmetic number, because the mean of its divisors is an integer number (66233112).

Almost surely, 2^1948770320 is an apocalyptic number.

1948770320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948770320 is an abundant number, since it is smaller than the sum of its proper divisors (3349878640).

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

1948770320 is a wasteful number, since it uses less digits than its factorization.

1948770320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80992 (or 80986 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 1948770320 is about 44144.8787516740. The cubic root of 1948770320 is about 1249.0703103131.

The spelling of 1948770320 in words is "one billion, nine hundred forty-eight million, seven hundred seventy thousand, three hundred twenty".