86691840 has 208 divisors, whose sum is σ = 297235008. Its totient is φ = 21495808.

The previous prime is 86691811. The next prime is 86691863. The reversal of 86691840 is 4819668.

It is a junction number, because it is equal to n+sod(n) for n = 86691792 and 86691801.

It is a congruent number.

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, 1044439 + ... + 1044521.

Almost surely, 2^86691840 is an apocalyptic number.

86691840 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 86691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148617504).

86691840 is an abundant number, since it is smaller than the sum of its proper divisors (210543168).

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

86691840 is a wasteful number, since it uses less digits than its factorization.

86691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86691840 is about 9310.8452892313. The cubic root of 86691840 is about 442.5809740416.

The spelling of 86691840 in words is "eighty-six million, six hundred ninety-one thousand, eight hundred forty".