85155840 has 448 divisors, whose sum is σ = 377464320. Its totient is φ = 17694720.

The previous prime is 85155809. The next prime is 85155841. The reversal of 85155840 is 4855158.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×85155840² = 14503034172211200, which contains 22 as substring.

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 = 85155795 and 85155804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85155841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741435 + ... + 7741445.

Almost surely, 2^85155840 is an apocalyptic number.

85155840 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 85155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

85155840 is an abundant number, since it is smaller than the sum of its proper divisors (292308480).

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

85155840 is a wasteful number, since it uses less digits than its factorization.

85155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85155840 is about 9227.9921976560. The cubic root of 85155840 is about 439.9515098079.

The spelling of 85155840 in words is "eighty-five million, one hundred fifty-five thousand, eight hundred forty".