1948887864 has 320 divisors, whose sum is σ = 6878995200. Its totient is φ = 500774400.

The previous prime is 1948887799. The next prime is 1948887877. The reversal of 1948887864 is 4687888491.

1948887864 is a `hidden beast` number, since 19 + 488 + 87 + 8 + 64 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6935404 + ... + 6935684.

It is an arithmetic number, because the mean of its divisors is an integer number (21496860).

Almost surely, 2^1948887864 is an apocalyptic number.

1948887864 is a gapful number since it is divisible by the number (14) 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 1948887864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439497600).

1948887864 is an abundant number, since it is smaller than the sum of its proper divisors (4930107336).

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

1948887864 is a wasteful number, since it uses less digits than its factorization.

1948887864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The square root of 1948887864 is about 44146.2100751582. The cubic root of 1948887864 is about 1249.0954232039.

The spelling of 1948887864 in words is "one billion, nine hundred forty-eight million, eight hundred eighty-seven thousand, eight hundred sixty-four".