1321828960 has 48 divisors (see below), whose sum is σ = 3127689936. Its totient is φ = 527907328.

The previous prime is 1321828951. The next prime is 1321828967. The reversal of 1321828960 is 698281231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321828967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102219 + ... + 114421.

It is an arithmetic number, because the mean of its divisors is an integer number (65160207).

Almost surely, 2^1321828960 is an apocalyptic number.

1321828960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321828960 is an abundant number, since it is smaller than the sum of its proper divisors (1805860976).

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

1321828960 is a wasteful number, since it uses less digits than its factorization.

1321828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1321828960 is about 36356.9657699869. The cubic root of 1321828960 is about 1097.4677176696.

The spelling of 1321828960 in words is "one billion, three hundred twenty-one million, eight hundred twenty-eight thousand, nine hundred sixty".