1921248 has 72 divisors (see below), whose sum is σ = 6250608. Its totient is φ = 548352.

The previous prime is 1921247. The next prime is 1921253. The reversal of 1921248 is 8421291.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (86814).

2^1921248 is an apocalyptic number.

1921248 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 1921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125304).

1921248 is an abundant number, since it is smaller than the sum of its proper divisors (4329360).

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

1921248 is a wasteful number, since it uses less digits than its factorization.

1921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1921248 is about 1386.0909061097. The cubic root of 1921248 is about 124.3162237540.

The spelling of 1921248 in words is "one million, nine hundred twenty-one thousand, two hundred forty-eight".