85015392 has 288 divisors, whose sum is σ = 297851904. Its totient is φ = 20966400.

The previous prime is 85015391. The next prime is 85015397. The reversal of 85015392 is 29351058.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85015391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1604038 + ... + 1604090.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 2^85015392 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 85015392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

85015392 is an abundant number, since it is smaller than the sum of its proper divisors (212836512).

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

85015392 is a wasteful number, since it uses less digits than its factorization.

85015392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 85015392 is about 9220.3791679084. The cubic root of 85015392 is about 439.7095052228.

The spelling of 85015392 in words is "eighty-five million, fifteen thousand, three hundred ninety-two".