86245760 has 64 divisors (see below), whose sum is σ = 218337120. Its totient is φ = 32464896.

The previous prime is 86245741. The next prime is 86245793. The reversal of 86245760 is 6754268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×86245760² = 14876662235955200, which contains 22 as substring.

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, 6917 + ... + 14843.

Almost surely, 2^86245760 is an apocalyptic number.

86245760 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 86245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109168560).

86245760 is an abundant number, since it is smaller than the sum of its proper divisors (132091360).

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

86245760 is a wasteful number, since it uses less digits than its factorization.

86245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 86245760 is about 9286.8595337714. The cubic root of 86245760 is about 441.8205560021.

The spelling of 86245760 in words is "eighty-six million, two hundred forty-five thousand, seven hundred sixty".