85601292 has 96 divisors (see below), whose sum is σ = 239468544. Its totient is φ = 23284800.

The previous prime is 85601287. The next prime is 85601353. The reversal of 85601292 is 29210658.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184653 + ... + 185115.

It is an arithmetic number, because the mean of its divisors is an integer number (2494464).

Almost surely, 2^85601292 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 85601292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119734272).

85601292 is an abundant number, since it is smaller than the sum of its proper divisors (153867252).

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

85601292 is a wasteful number, since it uses less digits than its factorization.

85601292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85601292 is about 9252.0966272516. The cubic root of 85601292 is about 440.7173079381.

The spelling of 85601292 in words is "eighty-five million, six hundred one thousand, two hundred ninety-two".