853973120 has 512 divisors, whose sum is σ = 2895298560. Its totient is φ = 232243200.

The previous prime is 853973117. The next prime is 853973129. The reversal of 853973120 is 21379358.

It is not an unprimeable number, because it can be changed into a prime (853973129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19859819 + ... + 19859861.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2^853973120 is an apocalyptic number.

853973120 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 853973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447649280).

853973120 is an abundant number, since it is smaller than the sum of its proper divisors (2041325440).

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

853973120 is a wasteful number, since it uses less digits than its factorization.

853973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 853973120 is about 29222.8184814538. The cubic root of 853973120 is about 948.7418691582.

The spelling of 853973120 in words is "eight hundred fifty-three million, nine hundred seventy-three thousand, one hundred twenty".