85760960 has 28 divisors (see below), whose sum is σ = 204219048. Its totient is φ = 34304256.

The previous prime is 85760959. The next prime is 85760981. The reversal of 85760960 is 6906758.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133682 + ... + 134321.

Almost surely, 2^85760960 is an apocalyptic number.

85760960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85760960 is an abundant number, since it is smaller than the sum of its proper divisors (118458088).

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

85760960 is a wasteful number, since it uses less digits than its factorization.

85760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268020 (or 268010 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 85760960 is about 9260.7213541927. The cubic root of 85760960 is about 440.9911540570.

The spelling of 85760960 in words is "eighty-five million, seven hundred sixty thousand, nine hundred sixty".