85629952 has 44 divisors (see below), whose sum is σ = 181282320. Its totient is φ = 40288256.

The previous prime is 85629937. The next prime is 85630001. The reversal of 85629952 is 25992658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14949 + ... + 19867.

Almost surely, 2^85629952 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 85629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90641160).

85629952 is an abundant number, since it is smaller than the sum of its proper divisors (95652368).

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

85629952 is a wasteful number, since it uses less digits than its factorization.

85629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4938 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 85629952 is about 9253.6453357582. The cubic root of 85629952 is about 440.7664876812.

The spelling of 85629952 in words is "eighty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".