86883552 has 144 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 24433920.

The previous prime is 86883527. The next prime is 86883613. The reversal of 86883552 is 25538868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 86883498 and 86883507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142833 + ... + 143439.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 2^86883552 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 86883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

86883552 is an abundant number, since it is smaller than the sum of its proper divisors (199936800).

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

86883552 is a wasteful number, since it uses less digits than its factorization.

86883552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 86883552 is about 9321.1346948749. The cubic root of 86883552 is about 442.9069778713.

The spelling of 86883552 in words is "eighty-six million, eight hundred eighty-three thousand, five hundred fifty-two".