86886240 has 192 divisors, whose sum is σ = 329495040. Its totient is φ = 18800640.

The previous prime is 86886209. The next prime is 86886253. The reversal of 86886240 is 4268868.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86886192 and 86886201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63160 + ... + 64520.

It is an arithmetic number, because the mean of its divisors is an integer number (1716120).

Almost surely, 2^86886240 is an apocalyptic number.

86886240 is a gapful number since it is divisible by the number (80) 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 86886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164747520).

86886240 is an abundant number, since it is smaller than the sum of its proper divisors (242608800).

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

86886240 is a wasteful number, since it uses less digits than its factorization.

86886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 86886240 is about 9321.2788822135. The cubic root of 86886240 is about 442.9115453706.

The spelling of 86886240 in words is "eighty-six million, eight hundred eighty-six thousand, two hundred forty".