85534344 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 22505472.

The previous prime is 85534331. The next prime is 85534349. The reversal of 85534344 is 44343558.

85534344 is a `hidden beast` number, since 85 + 534 + 3 + 44 = 666.

It is a super-2 number, since 2×85534344² = 14632248007020672, 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 = 85534299 and 85534308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85534349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573982 + ... + 574130.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^85534344 is an apocalyptic number.

85534344 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 85534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

85534344 is an abundant number, since it is smaller than the sum of its proper divisors (200881656).

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

85534344 is a wasteful number, since it uses less digits than its factorization.

85534344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 85534344 is about 9248.4779288270. The cubic root of 85534344 is about 440.6023842927.

The spelling of 85534344 in words is "eighty-five million, five hundred thirty-four thousand, three hundred forty-four".