86235840 has 168 divisors, whose sum is σ = 307878480. Its totient is φ = 22975488.

The previous prime is 86235827. The next prime is 86235841. The reversal of 86235840 is 4853268.

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

It is a junction number, because it is equal to n+sod(n) for n = 86235795 and 86235804.

It is not an unprimeable number, because it can be changed into a prime (86235841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77206 + ... + 78314.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^86235840 is an apocalyptic number.

86235840 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 86235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153939240).

86235840 is an abundant number, since it is smaller than the sum of its proper divisors (221642640).

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

86235840 is a wasteful number, since it uses less digits than its factorization.

86235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86235840 is about 9286.3254304380. The cubic root of 86235840 is about 441.8036159308.

The spelling of 86235840 in words is "eighty-six million, two hundred thirty-five thousand, eight hundred forty".