1007221320 has 96 divisors (see below), whose sum is σ = 3741117120. Its totient is φ = 230221440.

The previous prime is 1007221307. The next prime is 1007221337. The reversal of 1007221320 is 231227001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1007221293 and 1007221302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 197326 + ... + 202365.

It is an arithmetic number, because the mean of its divisors is an integer number (38969970).

Almost surely, 2^1007221320 is an apocalyptic number.

1007221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007221320 is an abundant number, since it is smaller than the sum of its proper divisors (2733895800).

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

1007221320 is a wasteful number, since it uses less digits than its factorization.

1007221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399715 (or 399708 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1007221320 is about 31736.7503062302. The cubic root of 1007221320 is about 1002.4013356381.

Adding to 1007221320 its reverse (231227001), we get a palindrome (1238448321).

The spelling of 1007221320 in words is "one billion, seven million, two hundred twenty-one thousand, three hundred twenty".