1924416 has 84 divisors (see below), whose sum is σ = 5963412. Its totient is φ = 589824.

The previous prime is 1924409. The next prime is 1924457. The reversal of 1924416 is 6144291.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 705600 = 1104^2 + 840^2 .

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

Its product of digits (1728) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1924416.

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, 7360 + ... + 7616.

It is an arithmetic number, because the mean of its divisors is an integer number (70993).

2^1924416 is an apocalyptic number.

1924416 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 1924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981706).

1924416 is an abundant number, since it is smaller than the sum of its proper divisors (4038996).

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

1924416 is a wasteful number, since it uses less digits than its factorization.

1924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1924416 is about 1387.2332175954. The cubic root of 1924416 is about 124.3845157404.

The spelling of 1924416 in words is "one million, nine hundred twenty-four thousand, four hundred sixteen".