86549040 has 160 divisors (see below), whose sum is σ = 315783360. Its totient is φ = 21712896.

The previous prime is 86549027. The next prime is 86549063. The reversal of 86549040 is 4094568.

It is a super-4 number, since 4×86549040⁴ (a number of 33 digits) contains 4444 as substring.

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 = 86548986 and 86549004.

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, 35542 + ... + 37898.

It is an arithmetic number, because the mean of its divisors is an integer number (1973646).

Almost surely, 2^86549040 is an apocalyptic number.

86549040 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 86549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157891680).

86549040 is an abundant number, since it is smaller than the sum of its proper divisors (229234320).

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

86549040 is a wasteful number, since it uses less digits than its factorization.

86549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86549040 is about 9303.1736520394. The cubic root of 86549040 is about 442.3378319862.

The spelling of 86549040 in words is "eighty-six million, five hundred forty-nine thousand, forty".