86682960 has 480 divisors, whose sum is σ = 379142400. Its totient is φ = 18289152.

The previous prime is 86682923. The next prime is 86682989. The reversal of 86682960 is 6928668.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667914 + ... + 6667926.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^86682960 is an apocalyptic number.

86682960 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 86682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

86682960 is an abundant number, since it is smaller than the sum of its proper divisors (292459440).

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

86682960 is a wasteful number, since it uses less digits than its factorization.

86682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 86682960 is about 9310.3684137632. The cubic root of 86682960 is about 442.5658620724.

It can be divided in two parts, 8668 and 2960, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 86682960 in words is "eighty-six million, six hundred eighty-two thousand, nine hundred sixty".