85898880 has 160 divisors (see below), whose sum is σ = 306945540. Its totient is φ = 22892544.

The previous prime is 85898873. The next prime is 85898893. The reversal of 85898880 is 8889858.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 2286144 = 9144^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51012 + ... + 52668.

Almost surely, 2^85898880 is an apocalyptic number.

85898880 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 85898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153472770).

85898880 is an abundant number, since it is smaller than the sum of its proper divisors (221046660).

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

85898880 is a wasteful number, since it uses less digits than its factorization.

85898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The square root of 85898880 is about 9268.1648668979. The cubic root of 85898880 is about 441.2274267731.

The spelling of 85898880 in words is "eighty-five million, eight hundred ninety-eight thousand, eight hundred eighty".