85651384 has 64 divisors (see below), whose sum is σ = 204523200. Its totient is φ = 32707584.

The previous prime is 85651369. The next prime is 85651387. The reversal of 85651384 is 48315658.

It is a super-2 number, since 2×85651384² = 14672319162230912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85651387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19084 + ... + 23140.

It is an arithmetic number, because the mean of its divisors is an integer number (3195675).

Almost surely, 2^85651384 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 85651384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102261600).

85651384 is an abundant number, since it is smaller than the sum of its proper divisors (118871816).

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

85651384 is a wasteful number, since it uses less digits than its factorization.

85651384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4108 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 85651384 is about 9254.8032934255. The cubic root of 85651384 is about 440.8032572116.

The spelling of 85651384 in words is "eighty-five million, six hundred fifty-one thousand, three hundred eighty-four".