86306304 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 23519232.

The previous prime is 86306293. The next prime is 86306317. The reversal of 86306304 is 40360368.

It is a super-2 number, since 2×86306304² = 14897556220280832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247122 + ... + 247470.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^86306304 is an apocalyptic number.

86306304 is a gapful number since it is divisible by the number (84) 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 86306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

86306304 is an abundant number, since it is smaller than the sum of its proper divisors (188676096).

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

86306304 is a wasteful number, since it uses less digits than its factorization.

86306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 86306304 is about 9290.1186214171. The cubic root of 86306304 is about 441.9239169358.

The spelling of 86306304 in words is "eighty-six million, three hundred six thousand, three hundred four".