86938020 has 144 divisors (see below), whose sum is σ = 289768752. Its totient is φ = 20966400.

The previous prime is 86938001. The next prime is 86938031. The reversal of 86938020 is 2083968.

It can be written as a sum of positive squares in 8 ways, for example, as 224676 + 86713344 = 474^2 + 9312^2 .

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

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, 123670 + ... + 124370.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283).

Almost surely, 2^86938020 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 86938020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144884376).

86938020 is an abundant number, since it is smaller than the sum of its proper divisors (202830732).

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

86938020 is a wasteful number, since it uses less digits than its factorization.

86938020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

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

The square root of 86938020 is about 9324.0559843879. The cubic root of 86938020 is about 442.9995125235. Note that the first 3 decimals are identical.

The spelling of 86938020 in words is "eighty-six million, nine hundred thirty-eight thousand, twenty".