1324960000 has 405 divisors, whose sum is σ = 4162918221. Its totient is φ = 419328000.

The previous prime is 1324959997. The next prime is 1324960009. The reversal of 1324960000 is 694231.

The square root of 1324960000 is 36400.

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 1308702976 + 16257024 = 36176^2 + 4032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1324960009) 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 44 ways as a sum of consecutive naturals, for example, 101919994 + ... + 101920006.

Almost surely, 2^1324960000 is an apocalyptic number.

1324960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1324960000 is the 36400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324960000

1324960000 is an abundant number, since it is smaller than the sum of its proper divisors (2837958221).

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

1324960000 is an frugal number, since it uses more digits than its factorization.

1324960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 1324960000 is about 1098.3335648782. Note that the first 3 decimals are identical.

Multiplying 1324960000 by its sum of digits (25), we get a square (33124000000 = 182000²).

1324960000 divided by its sum of digits (25) gives a square (52998400 = 7280²).

Multiplying 1324960000 by its product of nonzero digits (1296), we get a square (1717148160000 = 1310400²).

The spelling of 1324960000 in words is "one billion, three hundred twenty-four million, nine hundred sixty thousand".