53424640 has 80 divisors (see below), whose sum is σ = 131475960. Its totient is φ = 20807680.

The previous prime is 53424629. The next prime is 53424643. The reversal of 53424640 is 4642435.

It can be written as a sum of positive squares in 4 ways, for example, as 37552384 + 15872256 = 6128^2 + 3984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 53424599 and 53424608.

It is not an unprimeable number, because it can be changed into a prime (53424643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104706 + ... + 105214.

Almost surely, 2^53424640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65737980).

53424640 is an abundant number, since it is smaller than the sum of its proper divisors (78051320).

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

53424640 is an equidigital number, since it uses as much as digits as its factorization.

53424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 53424640 is about 7309.2161002395. The cubic root of 53424640 is about 376.6290962431.

The spelling of 53424640 in words is "fifty-three million, four hundred twenty-four thousand, six hundred forty".