853386720 has 96 divisors (see below), whose sum is σ = 2695835520. Its totient is φ = 226920960.

The previous prime is 853386713. The next prime is 853386727. The reversal of 853386720 is 27683358.

It is an interprime number because it is at equal distance from previous prime (853386713) and next prime (853386727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853386727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179575 + ... + 184265.

It is an arithmetic number, because the mean of its divisors is an integer number (28081620).

Almost surely, 2^853386720 is an apocalyptic number.

853386720 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 853386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347917760).

853386720 is an abundant number, since it is smaller than the sum of its proper divisors (1842448800).

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

853386720 is a wasteful number, since it uses less digits than its factorization.

853386720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 853386720 is about 29212.7835031173. The cubic root of 853386720 is about 948.5246610637.

The spelling of 853386720 in words is "eight hundred fifty-three million, three hundred eighty-six thousand, seven hundred twenty".