85867992 has 256 divisors, whose sum is σ = 297600000. Its totient is φ = 22861440.

The previous prime is 85867987. The next prime is 85867997. The reversal of 85867992 is 29976858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85867987) and next prime (85867997).

It is a super-2 number, since 2×85867992² = 14746624100224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85867997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407642 + ... + 1407702.

It is an arithmetic number, because the mean of its divisors is an integer number (1162500).

Almost surely, 2^85867992 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 85867992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800000).

85867992 is an abundant number, since it is smaller than the sum of its proper divisors (211732008).

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

85867992 is a wasteful number, since it uses less digits than its factorization.

85867992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 85867992 is about 9266.4983677763. The cubic root of 85867992 is about 441.1745340903.

The spelling of 85867992 in words is "eighty-five million, eight hundred sixty-seven thousand, nine hundred ninety-two".