86735040 has 112 divisors (see below), whose sum is σ = 314748672. Its totient is φ = 19823616.

The previous prime is 86735009. The next prime is 86735041. The reversal of 86735040 is 4053768.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 86734992 and 86735010.

It is not an unprimeable number, because it can be changed into a prime (86735041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (2810256).

Almost surely, 2^86735040 is an apocalyptic number.

86735040 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 86735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157374336).

86735040 is an abundant number, since it is smaller than the sum of its proper divisors (228013632).

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

86735040 is a wasteful number, since it uses less digits than its factorization.

86735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 86735040 is about 9313.1648755941. The cubic root of 86735040 is about 442.6544770115.

The spelling of 86735040 in words is "eighty-six million, seven hundred thirty-five thousand, forty".