86419920 has 80 divisors (see below), whose sum is σ = 272339712. Its totient is φ = 22663680.

The previous prime is 86419897. The next prime is 86419939. The reversal of 86419920 is 2991468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 11689 + ... + 17591.

Almost surely, 2^86419920 is an apocalyptic number.

86419920 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 86419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136169856).

86419920 is an abundant number, since it is smaller than the sum of its proper divisors (185919792).

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

86419920 is a wasteful number, since it uses less digits than its factorization.

86419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 86419920 is about 9296.2314945358. The cubic root of 86419920 is about 442.1177521833.

The spelling of 86419920 in words is "eighty-six million, four hundred nineteen thousand, nine hundred twenty".