85983552 has 112 divisors (see below), whose sum is σ = 267736320. Its totient is φ = 26966016.

The previous prime is 85983551. The next prime is 85983559. The reversal of 85983552 is 25538958.

85983552 is a `hidden beast` number, since 8 + 5 + 98 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85983498 and 85983507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85983551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27913 + ... + 30839.

Almost surely, 2^85983552 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 85983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133868160).

85983552 is an abundant number, since it is smaller than the sum of its proper divisors (181752768).

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

85983552 is a wasteful number, since it uses less digits than its factorization.

85983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2949 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 85983552 is about 9272.7316363626. The cubic root of 85983552 is about 441.3723543130.

The spelling of 85983552 in words is "eighty-five million, nine hundred eighty-three thousand, five hundred fifty-two".