86523840 has 168 divisors, whose sum is σ = 320637408. Its totient is φ = 21288960.

The previous prime is 86523839. The next prime is 86523889. The reversal of 86523840 is 4832568.

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 = 86523795 and 86523804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36285 + ... + 38595.

It is an arithmetic number, because the mean of its divisors is an integer number (1908556).

Almost surely, 2^86523840 is an apocalyptic number.

86523840 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 86523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160318704).

86523840 is an abundant number, since it is smaller than the sum of its proper divisors (234113568).

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

86523840 is a wasteful number, since it uses less digits than its factorization.

86523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2334 counting only the distinct ones).

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

The square root of 86523840 is about 9301.8191769137. The cubic root of 86523840 is about 442.2948968079.

The spelling of 86523840 in words is "eighty-six million, five hundred twenty-three thousand, eight hundred forty".