5824896 has 128 divisors (see below), whose sum is σ = 19388160. Its totient is φ = 1505280.

The previous prime is 5824883. The next prime is 5824919. The reversal of 5824896 is 6984285.

5824896 = 4² + 5² + ... + 259².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 29470 + ... + 29666.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 2^5824896 is an apocalyptic number.

5824896 is a gapful number since it is divisible by the number (56) 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 5824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080).

5824896 is an abundant number, since it is smaller than the sum of its proper divisors (13563264).

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

5824896 is a wasteful number, since it uses less digits than its factorization.

5824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 5824896 is about 2413.4821316927. The cubic root of 5824896 is about 179.9268838845.

The spelling of 5824896 in words is "five million, eight hundred twenty-four thousand, eight hundred ninety-six".