86732816 has 40 divisors (see below), whose sum is σ = 176339904. Its totient is φ = 41247360.

The previous prime is 86732801. The next prime is 86732831. The reversal of 86732816 is 61823768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86732801) and next prime (86732831).

It is a super-3 number, since 3×86732816³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77090 + ... + 78206.

Almost surely, 2^86732816 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 86732816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88169952).

86732816 is an abundant number, since it is smaller than the sum of its proper divisors (89607088).

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

86732816 is a wasteful number, since it uses less digits than its factorization.

86732816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 86732816 is about 9313.0454739575. The cubic root of 86732816 is about 442.6506935657.

The spelling of 86732816 in words is "eighty-six million, seven hundred thirty-two thousand, eight hundred sixteen".