85951440 has 240 divisors, whose sum is σ = 311825280. Its totient is φ = 21150720.

The previous prime is 85951427. The next prime is 85951469. The reversal of 85951440 is 4415958.

It is a Cunningham number, because it is equal to 9271²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85951395 and 85951404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834429 + ... + 834531.

It is an arithmetic number, because the mean of its divisors is an integer number (1299272).

Almost surely, 2^85951440 is an apocalyptic number.

85951440 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 85951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155912640).

85951440 is an abundant number, since it is smaller than the sum of its proper divisors (225873840).

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

85951440 is a wasteful number, since it uses less digits than its factorization.

85951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85951440 is about 9270.9999460684. Note that the first 4 decimals coincide. The cubic root of 85951440 is about 441.3174015012.

The spelling of 85951440 in words is "eighty-five million, nine hundred fifty-one thousand, four hundred forty".