852981360 has 320 divisors, whose sum is σ = 3336643584. Its totient is φ = 175104000.

The previous prime is 852981359. The next prime is 852981377. The reversal of 852981360 is 63189258.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1866252 + ... + 1866708.

Almost surely, 2^852981360 is an apocalyptic number.

852981360 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 852981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668321792).

852981360 is an abundant number, since it is smaller than the sum of its proper divisors (2483662224).

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

852981360 is a wasteful number, since it uses less digits than its factorization.

852981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 852981360 is about 29205.8446205550. The cubic root of 852981360 is about 948.3744537224.

The spelling of 852981360 in words is "eight hundred fifty-two million, nine hundred eighty-one thousand, three hundred sixty".