85842960 has 160 divisors (see below), whose sum is σ = 312575232. Its totient is φ = 19077120.

The previous prime is 85842959. The next prime is 85842961. The reversal of 85842960 is 6924858.

It is an interprime number because it is at equal distance from previous prime (85842959) and next prime (85842961).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85842961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61470 + ... + 62850.

Almost surely, 2^85842960 is an apocalyptic number.

85842960 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 85842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156287616).

85842960 is an abundant number, since it is smaller than the sum of its proper divisors (226732272).

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

85842960 is a wasteful number, since it uses less digits than its factorization.

85842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85842960 is about 9265.1475973133. The cubic root of 85842960 is about 441.1316599297.

The spelling of 85842960 in words is "eighty-five million, eight hundred forty-two thousand, nine hundred sixty".