86093840 has 40 divisors (see below), whose sum is σ = 228765120. Its totient is φ = 29517696.

The previous prime is 86093827. The next prime is 86093849. The reversal of 86093840 is 4839068.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 86093794 and 86093803.

It is not an unprimeable number, because it can be changed into a prime (86093849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76310 + ... + 77429.

It is an arithmetic number, because the mean of its divisors is an integer number (5719128).

Almost surely, 2^86093840 is an apocalyptic number.

86093840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86093840 is an abundant number, since it is smaller than the sum of its proper divisors (142671280).

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

86093840 is a wasteful number, since it uses less digits than its factorization.

86093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153759 (or 153753 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 86093840 is about 9278.6766297786. The cubic root of 86093840 is about 441.5609844845.

The spelling of 86093840 in words is "eighty-six million, ninety-three thousand, eight hundred forty".