86738688 has 180 divisors, whose sum is σ = 267109920. Its totient is φ = 27979776.

The previous prime is 86738671. The next prime is 86738689. The reversal of 86738688 is 88683768.

It is a happy number.

It is a super-2 number, since 2×86738688² = 15047199991922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86738689) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 974548 + ... + 974636.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944).

Almost surely, 2^86738688 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 86738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133554960).

86738688 is an abundant number, since it is smaller than the sum of its proper divisors (180371232).

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

86738688 is an equidigital number, since it uses as much as digits as its factorization.

86738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 86738688 is about 9313.3607253236. The cubic root of 86738688 is about 442.6606828113.

The spelling of 86738688 in words is "eighty-six million, seven hundred thirty-eight thousand, six hundred eighty-eight".