85269600 has 216 divisors, whose sum is σ = 324166752. Its totient is φ = 20966400.

The previous prime is 85269593. The next prime is 85269617. The reversal of 85269600 is 696258.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93145 + ... + 94055.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^85269600 is an apocalyptic number.

85269600 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 85269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

85269600 is an abundant number, since it is smaller than the sum of its proper divisors (238897152).

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

85269600 is a wasteful number, since it uses less digits than its factorization.

85269600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85269600 is about 9234.1539948173. The cubic root of 85269600 is about 440.1473335801.

The spelling of 85269600 in words is "eighty-five million, two hundred sixty-nine thousand, six hundred".