86769280 has 64 divisors (see below), whose sum is σ = 223410600. Its totient is φ = 32034816.

The previous prime is 86769253. The next prime is 86769283. The reversal of 86769280 is 8296768.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 8340544 = 8856^2 + 2888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 86769280.

It is not an unprimeable number, because it can be changed into a prime (86769283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106 + ... + 13534.

Almost surely, 2^86769280 is an apocalyptic number.

86769280 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 86769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111705300).

86769280 is an abundant number, since it is smaller than the sum of its proper divisors (136641320).

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

86769280 is a wasteful number, since it uses less digits than its factorization.

86769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 86769280 is about 9315.0029522271. The cubic root of 86769280 is about 442.7127175846.

It can be divided in two parts, 8676 and 9280, that added together give a square (17956 = 134²).

The spelling of 86769280 in words is "eighty-six million, seven hundred sixty-nine thousand, two hundred eighty".