85961792 has 56 divisors (see below), whose sum is σ = 206434944. Its totient is φ = 34670592.

The previous prime is 85961783. The next prime is 85961801. The reversal of 85961792 is 29716958.

It is an interprime number because it is at equal distance from previous prime (85961783) and next prime (85961801).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1973 + ... + 13259.

Almost surely, 2^85961792 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 85961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103217472).

85961792 is an abundant number, since it is smaller than the sum of its proper divisors (120473152).

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

85961792 is a wasteful number, since it uses less digits than its factorization.

85961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11313 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 85961792 is about 9271.5582293377. The cubic root of 85961792 is about 441.3351182273.

The spelling of 85961792 in words is "eighty-five million, nine hundred sixty-one thousand, seven hundred ninety-two".