85388160 has 256 divisors, whose sum is σ = 320785920. Its totient is φ = 19046400.

The previous prime is 85388131. The next prime is 85388179. The reversal of 85388160 is 6188358.

It is a happy number.

It is a super-2 number, since 2×85388160² = 14582275736371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274405 + ... + 274715.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^85388160 is an apocalyptic number.

85388160 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 85388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

85388160 is an abundant number, since it is smaller than the sum of its proper divisors (235397760).

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

85388160 is a wasteful number, since it uses less digits than its factorization.

85388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 85388160 is about 9240.5714109031. The cubic root of 85388160 is about 440.3512347001.

The spelling of 85388160 in words is "eighty-five million, three hundred eighty-eight thousand, one hundred sixty".