85417632 has 96 divisors (see below), whose sum is σ = 251697600. Its totient is φ = 28180224.

The previous prime is 85417627. The next prime is 85417693. The reversal of 85417632 is 23671458.

85417632 is a `hidden beast` number, since 8 + 5 + 4 + 17 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93723 + ... + 94629.

It is an arithmetic number, because the mean of its divisors is an integer number (2621850).

Almost surely, 2^85417632 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 85417632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125848800).

85417632 is an abundant number, since it is smaller than the sum of its proper divisors (166279968).

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

85417632 is a wasteful number, since it uses less digits than its factorization.

85417632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 85417632 is about 9242.1659798989. The cubic root of 85417632 is about 440.4018917573.

The spelling of 85417632 in words is "eighty-five million, four hundred seventeen thousand, six hundred thirty-two".