85775424 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 23210496.

The previous prime is 85775407. The next prime is 85775447. The reversal of 85775424 is 42457758.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 23857 + ... + 27215.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^85775424 is an apocalyptic number.

85775424 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 85775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

85775424 is an abundant number, since it is smaller than the sum of its proper divisors (187325376).

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

85775424 is a wasteful number, since it uses less digits than its factorization.

85775424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3390 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 85775424 is about 9261.5022539543. The cubic root of 85775424 is about 441.0159444259.

The spelling of 85775424 in words is "eighty-five million, seven hundred seventy-five thousand, four hundred twenty-four".