85740192 has 72 divisors (see below), whose sum is σ = 244730304. Its totient is φ = 28473984.

The previous prime is 85740169. The next prime is 85740223. The reversal of 85740192 is 29104758.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133023 + ... + 133665.

It is an arithmetic number, because the mean of its divisors is an integer number (3399032).

Almost surely, 2^85740192 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 85740192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122365152).

85740192 is an abundant number, since it is smaller than the sum of its proper divisors (158990112).

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

85740192 is a wasteful number, since it uses less digits than its factorization.

85740192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85740192 is about 9259.5999913603. The cubic root of 85740192 is about 440.9555541614.

The spelling of 85740192 in words is "eighty-five million, seven hundred forty thousand, one hundred ninety-two".