86289552 has 120 divisors (see below), whose sum is σ = 258967800. Its totient is φ = 26726400.

The previous prime is 86289547. The next prime is 86289607. The reversal of 86289552 is 25598268.

It can be written as a sum of positive squares in 4 ways, for example, as 57517056 + 28772496 = 7584^2 + 5364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86289498 and 86289507.

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, 247074 + ... + 247422.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^86289552 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 86289552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129483900).

86289552 is an abundant number, since it is smaller than the sum of its proper divisors (172678248).

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

86289552 is a wasteful number, since it uses less digits than its factorization.

86289552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 86289552 is about 9289.2169745356. The cubic root of 86289552 is about 441.8953226997.

The spelling of 86289552 in words is "eighty-six million, two hundred eighty-nine thousand, five hundred fifty-two".