85632000 has 176 divisors, whose sum is σ = 286121472. Its totient is φ = 22732800.

The previous prime is 85631957. The next prime is 85632007. The reversal of 85632000 is 23658.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (85632007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383889 + ... + 384111.

Almost surely, 2^85632000 is an apocalyptic number.

85632000 is a gapful number since it is divisible by the number (80) 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 85632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143060736).

85632000 is an abundant number, since it is smaller than the sum of its proper divisors (200489472).

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

85632000 is a wasteful number, since it uses less digits than its factorization.

85632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 85632000 is about 9253.7559941896. The cubic root of 85632000 is about 440.7700015707.

Adding to 85632000 its reverse (23658), we get a palindrome (85655658).

The spelling of 85632000 in words is "eighty-five million, six hundred thirty-two thousand".