85893632 has 80 divisors (see below), whose sum is σ = 190327104. Its totient is φ = 38400000.

The previous prime is 85893617. The next prime is 85893637. The reversal of 85893632 is 23639858.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (85893637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568757 + ... + 568907.

Almost surely, 2^85893632 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 85893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95163552).

85893632 is an abundant number, since it is smaller than the sum of its proper divisors (104433472).

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

85893632 is a wasteful number, since it uses less digits than its factorization.

85893632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 85893632 is about 9267.8817428795. The cubic root of 85893632 is about 441.2184409800.

It can be divided in two parts, 8589 and 3632, that added together give a palindrome (12221).

The spelling of 85893632 in words is "eighty-five million, eight hundred ninety-three thousand, six hundred thirty-two".