86561760 has 48 divisors (see below), whose sum is σ = 272671056. Its totient is φ = 23083008.

The previous prime is 86561749. The next prime is 86561767. The reversal of 86561760 is 6716568.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86561767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89689 + ... + 90648.

It is an arithmetic number, because the mean of its divisors is an integer number (5680647).

Almost surely, 2^86561760 is an apocalyptic number.

86561760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86561760 is an abundant number, since it is smaller than the sum of its proper divisors (186109296).

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

86561760 is a wasteful number, since it uses less digits than its factorization.

86561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180355 (or 180347 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 86561760 is about 9303.8572645973. The cubic root of 86561760 is about 442.3595008636.

The spelling of 86561760 in words is "eighty-six million, five hundred sixty-one thousand, seven hundred sixty".