86614416 has 120 divisors (see below), whose sum is σ = 286678080. Its totient is φ = 23885568.

The previous prime is 86614393. The next prime is 86614417. The reversal of 86614416 is 61441668.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86614417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27751 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (2388984).

Almost surely, 2^86614416 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 86614416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

86614416 is an abundant number, since it is smaller than the sum of its proper divisors (200063664).

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

86614416 is a wasteful number, since it uses less digits than its factorization.

86614416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86614416 is about 9306.6866284409. The cubic root of 86614416 is about 442.4491792636.

The spelling of 86614416 in words is "eighty-six million, six hundred fourteen thousand, four hundred sixteen".