86087040 has 128 divisors (see below), whose sum is σ = 295596000. Its totient is φ = 21184512.

The previous prime is 86087021. The next prime is 86087041. The reversal of 86087040 is 4078068.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 86086992 and 86087010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86087041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23236 + ... + 26684.

Almost surely, 2^86087040 is an apocalyptic number.

86087040 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 86087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798000).

86087040 is an abundant number, since it is smaller than the sum of its proper divisors (209508960).

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

86087040 is a wasteful number, since it uses less digits than its factorization.

86087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 86087040 is about 9278.3101909777. The cubic root of 86087040 is about 441.5493588221.

The spelling of 86087040 in words is "eighty-six million, eighty-seven thousand, forty".