853251840 has 288 divisors, whose sum is σ = 3461391360. Its totient is φ = 194973696.

The previous prime is 853251827. The next prime is 853251851. The reversal of 853251840 is 48152358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 853251795 and 853251804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240157 + ... + 243683.

It is an arithmetic number, because the mean of its divisors is an integer number (12018720).

Almost surely, 2^853251840 is an apocalyptic number.

853251840 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 853251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730695680).

853251840 is an abundant number, since it is smaller than the sum of its proper divisors (2608139520).

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

853251840 is a wasteful number, since it uses less digits than its factorization.

853251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 853251840 is about 29210.4748335250. The cubic root of 853251840 is about 948.4746861641.

The spelling of 853251840 in words is "eight hundred fifty-three million, two hundred fifty-one thousand, eight hundred forty".