85486032 has 120 divisors (see below), whose sum is σ = 254876544. Its totient is φ = 26687232.

The previous prime is 85486019. The next prime is 85486039. The reversal of 85486032 is 23068458.

85486032 is a `hidden beast` number, since 8 + 5 + 48 + 603 + 2 = 666.

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 (85486039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175293 + ... + 175779.

Almost surely, 2^85486032 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 85486032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127438272).

85486032 is an abundant number, since it is smaller than the sum of its proper divisors (169390512).

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

85486032 is a wasteful number, since it uses less digits than its factorization.

85486032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85486032 is about 9245.8656706660. The cubic root of 85486032 is about 440.5194141454.

The spelling of 85486032 in words is "eighty-five million, four hundred eighty-six thousand, thirty-two".