85717632 has 256 divisors, whose sum is σ = 307077120. Its totient is φ = 20459520.

The previous prime is 85717631. The next prime is 85717633. The reversal of 85717632 is 23671758.

It is an interprime number because it is at equal distance from previous prime (85717631) and next prime (85717633).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85717631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384273 + ... + 384495.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^85717632 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 85717632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

85717632 is an abundant number, since it is smaller than the sum of its proper divisors (221359488).

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

85717632 is a wasteful number, since it uses less digits than its factorization.

85717632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 85717632 is about 9258.3817160452. The cubic root of 85717632 is about 440.9168759573.

It can be divided in two parts, 85 and 717632, that added together give a palindrome (717717).

The spelling of 85717632 in words is "eighty-five million, seven hundred seventeen thousand, six hundred thirty-two".