86504880 has 320 divisors, whose sum is σ = 347406336. Its totient is φ = 17280000.

The previous prime is 86504879. The next prime is 86504881. The reversal of 86504880 is 8840568.

It is an interprime number because it is at equal distance from previous prime (86504879) and next prime (86504881).

It is not an unprimeable number, because it can be changed into a prime (86504881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572805 + ... + 572955.

Almost surely, 2^86504880 is an apocalyptic number.

86504880 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 86504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173703168).

86504880 is an abundant number, since it is smaller than the sum of its proper divisors (260901456).

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

86504880 is a wasteful number, since it uses less digits than its factorization.

86504880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86504880 is about 9300.7999655944. The cubic root of 86504880 is about 442.2625877015.

It can be divided in two parts, 8650 and 4880, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 86504880 in words is "eighty-six million, five hundred four thousand, eight hundred eighty".