1948968 has 64 divisors (see below), whose sum is σ = 6192000. Its totient is φ = 556416.

The previous prime is 1948937. The next prime is 1948981. The reversal of 1948968 is 8698491.

It is a nude number because it is divisible by every one of its digits.

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, 868 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (96750).

2^1948968 is an apocalyptic number.

1948968 is a gapful number since it is divisible by the number (18) 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 1948968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096000).

1948968 is an abundant number, since it is smaller than the sum of its proper divisors (4243032).

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

1948968 is a wasteful number, since it uses less digits than its factorization.

1948968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1301 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1948968 is about 1396.0544401992. The cubic root of 1948968 is about 124.9112543419.

It can be divided in two parts, 1948 and 968, that added together give a square (2916 = 54²).

The spelling of 1948968 in words is "one million, nine hundred forty-eight thousand, nine hundred sixty-eight".