86546880 has 392 divisors, whose sum is σ = 359798112. Its totient is φ = 19408896.

The previous prime is 86546879. The next prime is 86546903. The reversal of 86546880 is 8864568.

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 55 ways as a sum of consecutive naturals, for example, 1632934 + ... + 1632986.

Almost surely, 2^86546880 is an apocalyptic number.

86546880 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 86546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899056).

86546880 is an abundant number, since it is smaller than the sum of its proper divisors (273251232).

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

86546880 is an equidigital number, since it uses as much as digits as its factorization.

86546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 86546880 is about 9303.0575618987. The cubic root of 86546880 is about 442.3341521547.

Adding to 86546880 its product of nonzero digits (368640), we get a triangular number (86915520 = T₁₃₁₈₄).

The spelling of 86546880 in words is "eighty-six million, five hundred forty-six thousand, eight hundred eighty".