86739840 has 288 divisors, whose sum is σ = 335822760. Its totient is φ = 20459520.

The previous prime is 86739839. The next prime is 86739847. The reversal of 86739840 is 4893768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86739847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2344302 + ... + 2344338.

Almost surely, 2^86739840 is an apocalyptic number.

86739840 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 86739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167911380).

86739840 is an abundant number, since it is smaller than the sum of its proper divisors (249082920).

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

86739840 is a wasteful number, since it uses less digits than its factorization.

86739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 86739840 is about 9313.4225717509. The cubic root of 86739840 is about 442.6626425014.

The spelling of 86739840 in words is "eighty-six million, seven hundred thirty-nine thousand, eight hundred forty".