86569280 has 84 divisors (see below), whose sum is σ = 239842548. Its totient is φ = 29675520.

The previous prime is 86569279. The next prime is 86569283. The reversal of 86569280 is 8296568.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 58859584 = 5264^2 + 7672^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86569283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12920 + ... + 18440.

Almost surely, 2^86569280 is an apocalyptic number.

86569280 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 86569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119921274).

86569280 is an abundant number, since it is smaller than the sum of its proper divisors (153273268).

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

86569280 is a wasteful number, since it uses less digits than its factorization.

86569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 86569280 is about 9304.2613892775. The cubic root of 86569280 is about 442.3723103964.

The spelling of 86569280 in words is "eighty-six million, five hundred sixty-nine thousand, two hundred eighty".