85853880 has 288 divisors, whose sum is σ = 337184640. Its totient is φ = 18869760.

The previous prime is 85853879. The next prime is 85853881. The reversal of 85853880 is 8835858.

It is an interprime number because it is at equal distance from previous prime (85853879) and next prime (85853881).

It is a super-2 number, since 2×85853880² = 14741777422108800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85853881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546762 + ... + 546918.

It is an arithmetic number, because the mean of its divisors is an integer number (1170780).

Almost surely, 2^85853880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85853880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592320).

85853880 is an abundant number, since it is smaller than the sum of its proper divisors (251330760).

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

85853880 is a wasteful number, since it uses less digits than its factorization.

85853880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 85853880 is about 9265.7368838102. The cubic root of 85853880 is about 441.1503644474.

The spelling of 85853880 in words is "eighty-five million, eight hundred fifty-three thousand, eight hundred eighty".