853980160 has 176 divisors, whose sum is σ = 2281504320. Its totient is φ = 304087040.

The previous prime is 853980151. The next prime is 853980173. The reversal of 853980160 is 61089358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×853980160² = 1458564227347251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322752 + ... + 3323008.

Almost surely, 2^853980160 is an apocalyptic number.

853980160 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 853980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140752160).

853980160 is an abundant number, since it is smaller than the sum of its proper divisors (1427524160).

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

853980160 is a wasteful number, since it uses less digits than its factorization.

853980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 853980160 is about 29222.9389350216. The cubic root of 853980160 is about 948.7444762365.

The spelling of 853980160 in words is "eight hundred fifty-three million, nine hundred eighty thousand, one hundred sixty".