1948896 has 72 divisors (see below), whose sum is σ = 5680584. Its totient is φ = 633600.

The previous prime is 1948883. The next prime is 1948907. The reversal of 1948896 is 6988491.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19246 + ... + 19346.

It is an arithmetic number, because the mean of its divisors is an integer number (78897).

2^1948896 is an apocalyptic number.

1948896 is a gapful number since it is divisible by the number (16) 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 1948896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840292).

1948896 is an abundant number, since it is smaller than the sum of its proper divisors (3731688).

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

1948896 is a wasteful number, since it uses less digits than its factorization.

1948896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

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

The square root of 1948896 is about 1396.0286530011. The cubic root of 1948896 is about 124.9097161396.

The spelling of 1948896 in words is "one million, nine hundred forty-eight thousand, eight hundred ninety-six".