86796288 has 144 divisors (see below), whose sum is σ = 266387940. Its totient is φ = 27131904.

The previous prime is 86796253. The next prime is 86796299. The reversal of 86796288 is 88269768.

86796288 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 628 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 82944 = 9312^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×86796288² = 15067191221157888, which contains 22 as substring.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313206 + ... + 313482.

Almost surely, 2^86796288 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 86796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133193970).

86796288 is an abundant number, since it is smaller than the sum of its proper divisors (179591652).

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

86796288 is a wasteful number, since it uses less digits than its factorization.

86796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 86796288 is about 9316.4525437529. The cubic root of 86796288 is about 442.7586460696.

The spelling of 86796288 in words is "eighty-six million, seven hundred ninety-six thousand, two hundred eighty-eight".