85081824 has 144 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 26772480.

The previous prime is 85081823. The next prime is 85081837. The reversal of 85081824 is 42818058.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85081823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509389 + ... + 509555.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^85081824 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 85081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

85081824 is an abundant number, since it is smaller than the sum of its proper divisors (170839296).

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

85081824 is a wasteful number, since it uses less digits than its factorization.

85081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85081824 is about 9223.9809193211. The cubic root of 85081824 is about 439.8240067498.

It can be divided in two parts, 85081 and 824, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85081824 in words is "eighty-five million, eighty-one thousand, eight hundred twenty-four".