853617120 has 96 divisors (see below), whose sum is σ = 2723051520. Its totient is φ = 224739840.

The previous prime is 853617113. The next prime is 853617131. The reversal of 853617120 is 21716358.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26665 + ... + 49175.

It is an arithmetic number, because the mean of its divisors is an integer number (28365120).

Almost surely, 2^853617120 is an apocalyptic number.

853617120 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 853617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361525760).

853617120 is an abundant number, since it is smaller than the sum of its proper divisors (1869434400).

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

853617120 is a wasteful number, since it uses less digits than its factorization.

853617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22608 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 853617120 is about 29216.7267160440. The cubic root of 853617120 is about 948.6100152618.

The spelling of 853617120 in words is "eight hundred fifty-three million, six hundred seventeen thousand, one hundred twenty".