53400096 has 72 divisors (see below), whose sum is σ = 152953164. Its totient is φ = 17671680.

The previous prime is 53400079. The next prime is 53400101. The reversal of 53400096 is 69000435.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 1040400 = 7236^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44626 + ... + 45806.

Almost surely, 2^53400096 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 53400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76476582).

53400096 is an abundant number, since it is smaller than the sum of its proper divisors (99553068).

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

53400096 is a wasteful number, since it uses less digits than its factorization.

53400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53400096 is about 7307.5369311417. The cubic root of 53400096 is about 376.5714112467.

The spelling of 53400096 in words is "fifty-three million, four hundred thousand, ninety-six".