85461600 has 144 divisors (see below), whose sum is σ = 317979648. Its totient is φ = 19530240.

The previous prime is 85461577. The next prime is 85461617. The reversal of 85461600 is 616458.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14257 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 2^85461600 is an apocalyptic number.

85461600 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 85461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989824).

85461600 is an abundant number, since it is smaller than the sum of its proper divisors (232518048).

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

85461600 is a wasteful number, since it uses less digits than its factorization.

85461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85461600 is about 9244.5443370671. The cubic root of 85461600 is about 440.4774431724.

The spelling of 85461600 in words is "eighty-five million, four hundred sixty-one thousand, six hundred".