1948975864 has 64 divisors (see below), whose sum is σ = 4113129600. Its totient is φ = 858211200.

The previous prime is 1948975849. The next prime is 1948975879. The reversal of 1948975864 is 4685798491.

It is an interprime number because it is at equal distance from previous prime (1948975849) and next prime (1948975879).

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356947 + ... + 362365.

It is an arithmetic number, because the mean of its divisors is an integer number (64267650).

Almost surely, 2^1948975864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948975864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056564800).

1948975864 is an abundant number, since it is smaller than the sum of its proper divisors (2164153736).

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

1948975864 is a wasteful number, since it uses less digits than its factorization.

1948975864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5560 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The square root of 1948975864 is about 44147.2067519566. The cubic root of 1948975864 is about 1249.1142234549.

The spelling of 1948975864 in words is "one billion, nine hundred forty-eight million, nine hundred seventy-five thousand, eight hundred sixty-four".