86846040 has 128 divisors (see below), whose sum is σ = 292824000. Its totient is φ = 22892544.

The previous prime is 86845987. The next prime is 86846051. The reversal of 86846040 is 4064868.

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 = 86845986 and 86846004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104346 + ... + 105174.

Almost surely, 2^86846040 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 86846040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146412000).

86846040 is an abundant number, since it is smaller than the sum of its proper divisors (205977960).

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

86846040 is a wasteful number, since it uses less digits than its factorization.

86846040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86846040 is about 9319.1222762662. The cubic root of 86846040 is about 442.8432269548.

The spelling of 86846040 in words is "eighty-six million, eight hundred forty-six thousand, forty".