86377408 has 112 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 36126720.

The previous prime is 86377387. The next prime is 86377409. The reversal of 86377408 is 80477368.

It is a super-2 number, since 2×86377408² = 14922113225596928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86377409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438366 + ... + 438562.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 2^86377408 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 86377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

86377408 is an abundant number, since it is smaller than the sum of its proper divisors (116399936).

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

86377408 is a wasteful number, since it uses less digits than its factorization.

86377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 86377408 is about 9293.9446953379. The cubic root of 86377408 is about 442.0452442373.

The spelling of 86377408 in words is "eighty-six million, three hundred seventy-seven thousand, four hundred eight".