853964160 has 384 divisors, whose sum is σ = 3286072800. Its totient is φ = 187858944.

The previous prime is 853964159. The next prime is 853964183. The reversal of 853964160 is 61469358.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2728164 + ... + 2728476.

Almost surely, 2^853964160 is an apocalyptic number.

853964160 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 853964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643036400).

853964160 is an abundant number, since it is smaller than the sum of its proper divisors (2432108640).

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

853964160 is a wasteful number, since it uses less digits than its factorization.

853964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 853964160 is about 29222.6651761950. The cubic root of 853964160 is about 948.7385510378.

The spelling of 853964160 in words is "eight hundred fifty-three million, nine hundred sixty-four thousand, one hundred sixty".