53797824 has 112 divisors (see below), whose sum is σ = 159959040. Its totient is φ = 17729280.

The previous prime is 53797823. The next prime is 53797837. The reversal of 53797824 is 42879735.

53797824 is a `hidden beast` number, since 537 + 97 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53797824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53797823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281569 + ... + 281759.

Almost surely, 2^53797824 is an apocalyptic number.

53797824 is a gapful number since it is divisible by the number (54) 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 53797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79979520).

53797824 is an abundant number, since it is smaller than the sum of its proper divisors (106161216).

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

53797824 is a wasteful number, since it uses less digits than its factorization.

53797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 53797824 is about 7334.6999938648. The cubic root of 53797824 is about 377.5040106002.

It can be divided in two parts, 5379 and 7824, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 53797824 in words is "fifty-three million, seven hundred ninety-seven thousand, eight hundred twenty-four".