86007488 has 112 divisors (see below), whose sum is σ = 215944704. Its totient is φ = 33116160.

The previous prime is 86007473. The next prime is 86007503. The reversal of 86007488 is 88470068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86007473) and next prime (86007503).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174923 + ... + 175413.

Almost surely, 2^86007488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107972352).

86007488 is an abundant number, since it is smaller than the sum of its proper divisors (129937216).

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

86007488 is a wasteful number, since it uses less digits than its factorization.

86007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 86007488 is about 9274.0222126109. The cubic root of 86007488 is about 441.4133067519.

The spelling of 86007488 in words is "eighty-six million, seven thousand, four hundred eighty-eight".