53540032 has 112 divisors (see below), whose sum is σ = 135696960. Its totient is φ = 20385792.

The previous prime is 53540027. The next prime is 53540041. The reversal of 53540032 is 23004535.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×53540032² = 5733070053122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53539985 and 53540012.

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 15 ways as a sum of consecutive naturals, for example, 168738 + ... + 169054.

It is an arithmetic number, because the mean of its divisors is an integer number (1211580).

Almost surely, 2^53540032 is an apocalyptic number.

53540032 is a gapful number since it is divisible by the number (52) 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 53540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67848480).

53540032 is an abundant number, since it is smaller than the sum of its proper divisors (82156928).

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

53540032 is a wasteful number, since it uses less digits than its factorization.

53540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 53540032 is about 7317.1054386280. The cubic root of 53540032 is about 376.9000619273.

Adding to 53540032 its reverse (23004535), we get a palindrome (76544567).

The spelling of 53540032 in words is "fifty-three million, five hundred forty thousand, thirty-two".