86550016 has 160 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 33177600.

The previous prime is 86550001. The next prime is 86550019. The reversal of 86550016 is 61005568.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 86550016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86550019) 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, 2110956 + ... + 2110996.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^86550016 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 86550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

86550016 is an abundant number, since it is smaller than the sum of its proper divisors (133435904).

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

86550016 is a wasteful number, since it uses less digits than its factorization.

86550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 86550016 is about 9303.2261071093. The cubic root of 86550016 is about 442.3394947048.

The spelling of 86550016 in words is "eighty-six million, five hundred fifty thousand, sixteen".