85392000 has 192 divisors, whose sum is σ = 307181160. Its totient is φ = 22732800.

The previous prime is 85391993. The next prime is 85392007. The reversal of 85392000 is 29358.

It is an interprime number because it is at equal distance from previous prime (85391993) and next prime (85392007).

It can be written as a sum of positive squares in 4 ways, for example, as 29680704 + 55711296 = 5448^2 + 7464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85392007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143704 + ... + 144296.

Almost surely, 2^85392000 is an apocalyptic number.

85392000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153590580).

85392000 is an abundant number, since it is smaller than the sum of its proper divisors (221789160).

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

85392000 is a wasteful number, since it uses less digits than its factorization.

85392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 85392000 is about 9240.7791879257. The cubic root of 85392000 is about 440.3578356285.

The spelling of 85392000 in words is "eighty-five million, three hundred ninety-two thousand".