86208408 has 128 divisors (see below), whose sum is σ = 281433600. Its totient is φ = 24105600.

The previous prime is 86208389. The next prime is 86208443. The reversal of 86208408 is 80480268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29493 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (2198700).

Almost surely, 2^86208408 is an apocalyptic number.

86208408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86208408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140716800).

86208408 is an abundant number, since it is smaller than the sum of its proper divisors (195225192).

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

86208408 is a wasteful number, since it uses less digits than its factorization.

86208408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86208408 is about 9284.8483024765. The cubic root of 86208408 is about 441.7567644048.

The spelling of 86208408 in words is "eighty-six million, two hundred eight thousand, four hundred eight".