853132896 has 576 divisors, whose sum is σ = 3351269376. Its totient is φ = 199065600.

The previous prime is 853132877. The next prime is 853132897. The reversal of 853132896 is 698231358.

853132896 = T₄₉₆ + T₄₉₇ + ... + T₁₇₃₆.

It is a happy number.

853132896 is a `hidden beast` number, since 8 + 531 + 3 + 28 + 96 = 666.

Its product of digits (311040) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853132897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11686716 + ... + 11686788.

It is an arithmetic number, because the mean of its divisors is an integer number (5818176).

Almost surely, 2^853132896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853132896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675634688).

853132896 is an abundant number, since it is smaller than the sum of its proper divisors (2498136480).

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

853132896 is a wasteful number, since it uses less digits than its factorization.

853132896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 853132896 is about 29208.4387805990. The cubic root of 853132896 is about 948.4306114019.

It can be divided in two parts, 85313 and 2896, that added together give a square (88209 = 297²).

The spelling of 853132896 in words is "eight hundred fifty-three million, one hundred thirty-two thousand, eight hundred ninety-six".