853146000 has 640 divisors, whose sum is σ = 3645957120. Its totient is φ = 186624000.

The previous prime is 853145981. The next prime is 853146029. The reversal of 853146000 is 641358.

853146000 is a `hidden beast` number, since 8 + 53 + 1 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13985970 + ... + 13986030.

It is an arithmetic number, because the mean of its divisors is an integer number (5696808).

Almost surely, 2^853146000 is an apocalyptic number.

853146000 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 853146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822978560).

853146000 is an abundant number, since it is smaller than the sum of its proper divisors (2792811120).

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

853146000 is a wasteful number, since it uses less digits than its factorization.

853146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 853146000 is about 29208.6630984713. The cubic root of 853146000 is about 948.4354672969.

Adding to 853146000 its reverse (641358), we get a palindrome (853787358).

The spelling of 853146000 in words is "eight hundred fifty-three million, one hundred forty-six thousand".