85074600 has 144 divisors (see below), whose sum is σ = 285919200. Its totient is φ = 20916480.

The previous prime is 85074599. The next prime is 85074617. The reversal of 85074600 is 647058.

It is a happy number.

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

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, 100981 + ... + 101819.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 2^85074600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85074600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

85074600 is an abundant number, since it is smaller than the sum of its proper divisors (200844600).

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

85074600 is a wasteful number, since it uses less digits than its factorization.

85074600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 85074600 is about 9223.5893230347. The cubic root of 85074600 is about 439.8115584249.

The spelling of 85074600 in words is "eighty-five million, seventy-four thousand, six hundred".