86509416 has 64 divisors (see below), whose sum is σ = 247927680. Its totient is φ = 24641280.

The previous prime is 86509373. The next prime is 86509459. The reversal of 86509416 is 61490568.

It is an interprime number because it is at equal distance from previous prime (86509373) and next prime (86509459).

It is a super-2 number, since 2×86509416² = 14967758113322112, which contains 22 as substring.

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, 76890 + ... + 78006.

It is an arithmetic number, because the mean of its divisors is an integer number (3873870).

Almost surely, 2^86509416 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 86509416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123963840).

86509416 is an abundant number, since it is smaller than the sum of its proper divisors (161418264).

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

86509416 is a wasteful number, since it uses less digits than its factorization.

86509416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 86509416 is about 9301.0438123901. The cubic root of 86509416 is about 442.2703177780.

The spelling of 86509416 in words is "eighty-six million, five hundred nine thousand, four hundred sixteen".