86528640 has 256 divisors, whose sum is σ = 319904640. Its totient is φ = 19660800.

The previous prime is 86528639. The next prime is 86528647. The reversal of 86528640 is 4682568.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86528647) 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, 358920 + ... + 359160.

Almost surely, 2^86528640 is an apocalyptic number.

86528640 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 86528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

86528640 is an abundant number, since it is smaller than the sum of its proper divisors (233376000).

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

86528640 is a wasteful number, since it uses less digits than its factorization.

86528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 86528640 is about 9302.0771873813. The cubic root of 86528640 is about 442.3030755798.

The spelling of 86528640 in words is "eighty-six million, five hundred twenty-eight thousand, six hundred forty".