53486208 has 96 divisors (see below), whose sum is σ = 159318900. Its totient is φ = 17203200.

The previous prime is 53486183. The next prime is 53486221. The reversal of 53486208 is 80268435.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 7354944 = 6792^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32608 + ... + 34208.

Almost surely, 2^53486208 is an apocalyptic number.

53486208 is a gapful number since it is divisible by the number (58) 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 53486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79659450).

53486208 is an abundant number, since it is smaller than the sum of its proper divisors (105832692).

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

53486208 is a wasteful number, since it uses less digits than its factorization.

53486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53486208 is about 7313.4265566833. The cubic root of 53486208 is about 376.7737198867.

The spelling of 53486208 in words is "fifty-three million, four hundred eighty-six thousand, two hundred eight".