853545600 has 480 divisors, whose sum is σ = 3271247100. Its totient is φ = 218972160.

The previous prime is 853545587. The next prime is 853545601. The reversal of 853545600 is 6545358.

853545600 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 358572096 + 494973504 = 18936^2 + 22248^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (853545601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9590356 + ... + 9590444.

Almost surely, 2^853545600 is an apocalyptic number.

853545600 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 853545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635623550).

853545600 is an abundant number, since it is smaller than the sum of its proper divisors (2417701500).

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

853545600 is a wasteful number, since it uses less digits than its factorization.

853545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 853545600 is about 29215.5027339938. The cubic root of 853545600 is about 948.5835215402.

The spelling of 853545600 in words is "eight hundred fifty-three million, five hundred forty-five thousand, six hundred".