852640000 has 135 divisors (see below), whose sum is σ = 2156288673. Its totient is φ = 336384000.

The previous prime is 852639979. The next prime is 852640013. The reversal of 852640000 is 46258.

The square root of 852640000 is 29200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 604766464 + 247873536 = 24592^2 + 15744^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11679964 + ... + 11680036.

Almost surely, 2^852640000 is an apocalyptic number.

852640000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

852640000 is the 29200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852640000

852640000 is an abundant number, since it is smaller than the sum of its proper divisors (1303648673).

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

852640000 is an frugal number, since it uses more digits than its factorization.

852640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 852640000 is about 948.2479248538.

Multiplying 852640000 by its sum of digits (25), we get a square (21316000000 = 146000²).

852640000 divided by its sum of digits (25) gives a square (34105600 = 5840²).

Adding to 852640000 its reverse (46258), we get a palindrome (852686258).

The spelling of 852640000 in words is "eight hundred fifty-two million, six hundred forty thousand".