85797600 has 144 divisors (see below), whose sum is σ = 319229568. Its totient is φ = 19607040.

The previous prime is 85797583. The next prime is 85797617. The reversal of 85797600 is 679758.

It is an interprime number because it is at equal distance from previous prime (85797583) and next prime (85797617).

It is a super-2 number, since 2×85797600² = 14722456331520000, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14247 + ... + 19353.

It is an arithmetic number, because the mean of its divisors is an integer number (2216872).

Almost surely, 2^85797600 is an apocalyptic number.

85797600 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 85797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159614784).

85797600 is an abundant number, since it is smaller than the sum of its proper divisors (233431968).

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

85797600 is a wasteful number, since it uses less digits than its factorization.

85797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 85797600 is about 9262.6993905664. The cubic root of 85797600 is about 441.0539472571.

The spelling of 85797600 in words is "eighty-five million, seven hundred ninety-seven thousand, six hundred".