86735840 has 48 divisors (see below), whose sum is σ = 207249840. Its totient is φ = 34298880.

The previous prime is 86735837. The next prime is 86735851. The reversal of 86735840 is 4853768.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11195 + ... + 17285.

It is an arithmetic number, because the mean of its divisors is an integer number (4317705).

Almost surely, 2^86735840 is an apocalyptic number.

86735840 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 86735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103624920).

86735840 is an abundant number, since it is smaller than the sum of its proper divisors (120514000).

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

86735840 is a wasteful number, since it uses less digits than its factorization.

86735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 86735840 is about 9313.2078254488. The cubic root of 86735840 is about 442.6558379474.

The spelling of 86735840 in words is "eighty-six million, seven hundred thirty-five thousand, eight hundred forty".