86711760 has 120 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 22828800.

The previous prime is 86711759. The next prime is 86711767. The reversal of 86711760 is 6711768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86711767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59035 + ... + 60485.

Almost surely, 2^86711760 is an apocalyptic number.

86711760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86711760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

86711760 is an abundant number, since it is smaller than the sum of its proper divisors (208206864).

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

86711760 is a wasteful number, since it uses less digits than its factorization.

86711760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 86711760 is about 9311.9149480652. The cubic root of 86711760 is about 442.6148701109.

The spelling of 86711760 in words is "eighty-six million, seven hundred eleven thousand, seven hundred sixty".