86614080 has 112 divisors (see below), whose sum is σ = 314309760. Its totient is φ = 19795968.

The previous prime is 86614061. The next prime is 86614081. The reversal of 86614080 is 8041668.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (86614081) 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, 276 + ... + 13164.

Almost surely, 2^86614080 is an apocalyptic number.

86614080 is a gapful number since it is divisible by the number (80) 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 86614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157154880).

86614080 is an abundant number, since it is smaller than the sum of its proper divisors (227695680).

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

86614080 is a wasteful number, since it uses less digits than its factorization.

86614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 86614080 is about 9306.6685768861. The cubic root of 86614080 is about 442.4486071374.

The spelling of 86614080 in words is "eighty-six million, six hundred fourteen thousand, eighty".