86354688 has 72 divisors (see below), whose sum is σ = 262678528. Its totient is φ = 24671232.

The previous prime is 86354647. The next prime is 86354689. The reversal of 86354688 is 88645368.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86354689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2656 + ... + 13407.

Almost surely, 2^86354688 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 86354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131339264).

86354688 is an abundant number, since it is smaller than the sum of its proper divisors (176323840).

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

86354688 is a wasteful number, since it uses less digits than its factorization.

86354688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16089 (or 16075 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 86354688 is about 9292.7223137249. The cubic root of 86354688 is about 442.0064835286.

The spelling of 86354688 in words is "eighty-six million, three hundred fifty-four thousand, six hundred eighty-eight".