86457840 has 160 divisors (see below), whose sum is σ = 312408576. Its totient is φ = 19368960.

The previous prime is 86457817. The next prime is 86457841. The reversal of 86457840 is 4875468.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86457792 and 86457801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86457841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88555 + ... + 89525.

Almost surely, 2^86457840 is an apocalyptic number.

86457840 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 86457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156204288).

86457840 is an abundant number, since it is smaller than the sum of its proper divisors (225950736).

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

86457840 is a wasteful number, since it uses less digits than its factorization.

86457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 86457840 is about 9298.2708069834. The cubic root of 86457840 is about 442.1824080082.

The spelling of 86457840 in words is "eighty-six million, four hundred fifty-seven thousand, eight hundred forty".