1630221376 has 105 divisors (see below), whose sum is σ = 3810903351. Its totient is φ = 691883136.

The previous prime is 1630221371. The next prime is 1630221391. The reversal of 1630221376 is 6731220361.

The square root of 1630221376 is 40376.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1630221371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15827341 + ... + 15827443.

Almost surely, 2^1630221376 is an apocalyptic number.

1630221376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1630221376 is the 40376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630221376

1630221376 is an abundant number, since it is smaller than the sum of its proper divisors (2180681975).

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

1630221376 is an frugal number, since it uses more digits than its factorization.

1630221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The cubic root of 1630221376 is about 1176.9251978515.

The spelling of 1630221376 in words is "one billion, six hundred thirty million, two hundred twenty-one thousand, three hundred seventy-six".