85741824 has 144 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 23838720.

The previous prime is 85741819. The next prime is 85741837. The reversal of 85741824 is 42814758.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220222 + ... + 220610.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^85741824 is an apocalyptic number.

85741824 is a gapful number since it is divisible by the number (84) 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 85741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

85741824 is an abundant number, since it is smaller than the sum of its proper divisors (182103936).

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

85741824 is a wasteful number, since it uses less digits than its factorization.

85741824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 85741824 is about 9259.6881156981. The cubic root of 85741824 is about 440.9583518960.

The spelling of 85741824 in words is "eighty-five million, seven hundred forty-one thousand, eight hundred twenty-four".