85132944 has 200 divisors, whose sum is σ = 275593472. Its totient is φ = 25194240.

The previous prime is 85132921. The next prime is 85132969. The reversal of 85132944 is 44923158.

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 = 85132899 and 85132908.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522207 + ... + 522369.

Almost surely, 2^85132944 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 85132944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137796736).

85132944 is an abundant number, since it is smaller than the sum of its proper divisors (190460528).

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

85132944 is a wasteful number, since it uses less digits than its factorization.

85132944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 85132944 is about 9226.7515410354. The cubic root of 85132944 is about 439.9120760955.

The spelling of 85132944 in words is "eighty-five million, one hundred thirty-two thousand, nine hundred forty-four".