88586352 has 80 divisors (see below), whose sum is σ = 259745280. Its totient is φ = 28893888.

The previous prime is 88586339. The next prime is 88586357. The reversal of 88586352 is 25368588.

It is a happy number.

88586352 is a `hidden beast` number, since 8 + 8 + 5 + 8 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88586298 and 88586307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88586357) 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 15 ways as a sum of consecutive naturals, for example, 18123 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (3246816).

Almost surely, 2^88586352 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 88586352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129872640).

88586352 is an abundant number, since it is smaller than the sum of its proper divisors (171158928).

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

88586352 is a wasteful number, since it uses less digits than its factorization.

88586352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4415 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 88586352 is about 9412.0322991371. The cubic root of 88586352 is about 445.7817374671.

The spelling of 88586352 in words is "eighty-eight million, five hundred eighty-six thousand, three hundred fifty-two".