85892352 has 144 divisors (see below), whose sum is σ = 281581440. Its totient is φ = 22634496.

The previous prime is 85892341. The next prime is 85892357. The reversal of 85892352 is 25329858.

It is a super-2 number, since 2×85892352² = 14754992264183808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85892357) 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 15 ways as a sum of consecutive naturals, for example, 69274 + ... + 70502.

Almost surely, 2^85892352 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 85892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790720).

85892352 is an abundant number, since it is smaller than the sum of its proper divisors (195689088).

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

85892352 is a wasteful number, since it uses less digits than its factorization.

85892352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 85892352 is about 9267.8126869289. The cubic root of 85892352 is about 441.2162492676.

The spelling of 85892352 in words is "eighty-five million, eight hundred ninety-two thousand, three hundred fifty-two".