85714632 has 64 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 28270080.

The previous prime is 85714631. The next prime is 85714639. The reversal of 85714632 is 23641758.

85714632 is a `hidden beast` number, since 8 + 5 + 7 + 14 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85714631) 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, 18907 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (3759525).

Almost surely, 2^85714632 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 85714632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

85714632 is an abundant number, since it is smaller than the sum of its proper divisors (154894968).

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

85714632 is a wasteful number, since it uses less digits than its factorization.

85714632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4193 counting only the distinct ones).

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

The square root of 85714632 is about 9258.2196992726. The cubic root of 85714632 is about 440.9117320679.

It can be divided in two parts, 8571 and 4632, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 85714632 in words is "eighty-five million, seven hundred fourteen thousand, six hundred thirty-two".