86501840 has 40 divisors (see below), whose sum is σ = 203677440. Its totient is φ = 34160256.

The previous prime is 86501803. The next prime is 86501869. The reversal of 86501840 is 4810568.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 86501797 and 86501806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 13163.

It is an arithmetic number, because the mean of its divisors is an integer number (5091936).

Almost surely, 2^86501840 is an apocalyptic number.

86501840 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 86501840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101838720).

86501840 is an abundant number, since it is smaller than the sum of its proper divisors (117175600).

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

86501840 is a wasteful number, since it uses less digits than its factorization.

86501840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 86501840 is about 9300.6365373559. The cubic root of 86501840 is about 442.2574068993.

The spelling of 86501840 in words is "eighty-six million, five hundred one thousand, eight hundred forty".