86088352 has 48 divisors (see below), whose sum is σ = 196463232. Its totient is φ = 36368640.

The previous prime is 86088341. The next prime is 86088361. The reversal of 86088352 is 25388068.

It is a super-2 number, since 2×86088352² = 14822408700151808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13198 + ... + 18610.

It is an arithmetic number, because the mean of its divisors is an integer number (4092984).

Almost surely, 2^86088352 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 86088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98231616).

86088352 is an abundant number, since it is smaller than the sum of its proper divisors (110374880).

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

86088352 is a wasteful number, since it uses less digits than its factorization.

86088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 86088352 is about 9278.3808932378. The cubic root of 86088352 is about 441.5516019388.

The spelling of 86088352 in words is "eighty-six million, eighty-eight thousand, three hundred fifty-two".