85985240 has 64 divisors (see below), whose sum is σ = 214025760. Its totient is φ = 30827520.

The previous prime is 85985233. The next prime is 85985257. The reversal of 85985240 is 4258958.

It is a super-2 number, since 2×85985240² = 14786922995715200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30782 + ... + 33458.

Almost surely, 2^85985240 is an apocalyptic number.

85985240 is the 5354-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85985240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107012880).

85985240 is an abundant number, since it is smaller than the sum of its proper divisors (128040520).

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

85985240 is a wasteful number, since it uses less digits than its factorization.

85985240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 85985240 is about 9272.8226554809. The cubic root of 85985240 is about 441.3752425850.

The spelling of 85985240 in words is "eighty-five million, nine hundred eighty-five thousand, two hundred forty".