86785920 has 384 divisors, whose sum is σ = 345290400. Its totient is φ = 19906560.

The previous prime is 86785913. The next prime is 86785931. The reversal of 86785920 is 2958768.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422690 + ... + 1422750.

Almost surely, 2^86785920 is an apocalyptic number.

86785920 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 86785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645200).

86785920 is an abundant number, since it is smaller than the sum of its proper divisors (258504480).

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

86785920 is a wasteful number, since it uses less digits than its factorization.

86785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86785920 is about 9315.8960921642. The cubic root of 86785920 is about 442.7410158823.

The spelling of 86785920 in words is "eighty-six million, seven hundred eighty-five thousand, nine hundred twenty".