852154560 has 448 divisors, whose sum is σ = 3291840000. Its totient is φ = 206696448.

The previous prime is 852154547. The next prime is 852154561. The reversal of 852154560 is 65451258.

852154560 is a `hidden beast` number, since 8 + 52 + 1 + 545 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (852154561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760551 + ... + 4760729.

Almost surely, 2^852154560 is an apocalyptic number.

852154560 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 852154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920000).

852154560 is an abundant number, since it is smaller than the sum of its proper divisors (2439685440).

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

852154560 is a wasteful number, since it uses less digits than its factorization.

852154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 852154560 is about 29191.6864877657. The cubic root of 852154560 is about 948.0679329623.

The spelling of 852154560 in words is "eight hundred fifty-two million, one hundred fifty-four thousand, five hundred sixty".