86759552 has 64 divisors (see below), whose sum is σ = 193073760. Its totient is φ = 38492160.

The previous prime is 86759549. The next prime is 86759557. The reversal of 86759552 is 25595768.

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

It is a junction number, because it is equal to n+sod(n) for n = 86759497 and 86759506.

It is not an unprimeable number, because it can be changed into a prime (86759557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59828 + ... + 61260.

Almost surely, 2^86759552 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 86759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96536880).

86759552 is an abundant number, since it is smaller than the sum of its proper divisors (106314208).

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

86759552 is a wasteful number, since it uses less digits than its factorization.

86759552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The square root of 86759552 is about 9314.4807692109. The cubic root of 86759552 is about 442.6961722885.

The spelling of 86759552 in words is "eighty-six million, seven hundred fifty-nine thousand, five hundred fifty-two".