88537536 has 84 divisors (see below), whose sum is σ = 263222232. Its totient is φ = 29507328.

The previous prime is 88537531. The next prime is 88537541. The reversal of 88537536 is 63573588.

88537536 is a `hidden beast` number, since 8 + 85 + 37 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (88537531) and next prime (88537541).

It is a junction number, because it is equal to n+sod(n) for n = 88537491 and 88537500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88537531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12706 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (3133598).

Almost surely, 2^88537536 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 88537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131611116).

88537536 is an abundant number, since it is smaller than the sum of its proper divisors (174684696).

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

88537536 is an equidigital number, since it uses as much as digits as its factorization.

88537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5698 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 88537536 is about 9409.4386655103. The cubic root of 88537536 is about 445.6998389231.

The spelling of 88537536 in words is "eighty-eight million, five hundred thirty-seven thousand, five hundred thirty-six".