85980960 has 192 divisors, whose sum is σ = 324293760. Its totient is φ = 21150720.

The previous prime is 85980953. The next prime is 85980989. The reversal of 85980960 is 6908958.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55395 + ... + 56925.

It is an arithmetic number, because the mean of its divisors is an integer number (1689030).

Almost surely, 2^85980960 is an apocalyptic number.

85980960 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 85980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146880).

85980960 is an abundant number, since it is smaller than the sum of its proper divisors (238312800).

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

85980960 is a wasteful number, since it uses less digits than its factorization.

85980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 85980960 is about 9272.5918706692. The cubic root of 85980960 is about 441.3679191677.

The spelling of 85980960 in words is "eighty-five million, nine hundred eighty thousand, nine hundred sixty".