86207280 has 80 divisors (see below), whose sum is σ = 275887104. Its totient is φ = 22245120.

The previous prime is 86207273. The next prime is 86207291. The reversal of 86207280 is 8270268.

86207280 = 411² + 412² + ... + 689².

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 13233.

Almost surely, 2^86207280 is an apocalyptic number.

86207280 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 86207280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137943552).

86207280 is an abundant number, since it is smaller than the sum of its proper divisors (189679824).

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

86207280 is a wasteful number, since it uses less digits than its factorization.

86207280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 86207280 is about 9284.7875581512. The cubic root of 86207280 is about 441.7548376638.

The spelling of 86207280 in words is "eighty-six million, two hundred seven thousand, two hundred eighty".