86880752 has 80 divisors (see below), whose sum is σ = 207843840. Its totient is φ = 34358016.

The previous prime is 86880751. The next prime is 86880767. The reversal of 86880752 is 25708868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86880751) 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, 74123 + ... + 75285.

It is an arithmetic number, because the mean of its divisors is an integer number (2598048).

Almost surely, 2^86880752 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 86880752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103921920).

86880752 is an abundant number, since it is smaller than the sum of its proper divisors (120963088).

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

86880752 is a wasteful number, since it uses less digits than its factorization.

86880752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 86880752 is about 9320.9844973586. The cubic root of 86880752 is about 442.9022199594.

The spelling of 86880752 in words is "eighty-six million, eight hundred eighty thousand, seven hundred fifty-two".