86530640 has 80 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 29475840.

The previous prime is 86530637. The next prime is 86530643. The reversal of 86530640 is 4603568.

It is an interprime number because it is at equal distance from previous prime (86530637) and next prime (86530643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 86530597 and 86530606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86530643) 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, 106556 + ... + 107364.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^86530640 is an apocalyptic number.

86530640 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 86530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

86530640 is an abundant number, since it is smaller than the sum of its proper divisors (144883120).

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

86530640 is a wasteful number, since it uses less digits than its factorization.

86530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 86530640 is about 9302.1846896307. The cubic root of 86530640 is about 442.3064833121.

The spelling of 86530640 in words is "eighty-six million, five hundred thirty thousand, six hundred forty".