86419620 has 144 divisors (see below), whose sum is σ = 302859648. Its totient is φ = 19537920.

The previous prime is 86419609. The next prime is 86419621. The reversal of 86419620 is 2691468.

86419620 is a `hidden beast` number, since 8 + 641 + 9 + 6 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (86419621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134500 + ... + 135140.

It is an arithmetic number, because the mean of its divisors is an integer number (2103192).

Almost surely, 2^86419620 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 86419620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151429824).

86419620 is an abundant number, since it is smaller than the sum of its proper divisors (216440028).

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

86419620 is a wasteful number, since it uses less digits than its factorization.

86419620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86419620 is about 9296.2153589512. The cubic root of 86419620 is about 442.1172405903.

The spelling of 86419620 in words is "eighty-six million, four hundred nineteen thousand, six hundred twenty".