1630368 has 120 divisors (see below), whose sum is σ = 5214132. Its totient is φ = 497664.

The previous prime is 1630367. The next prime is 1630379. The reversal of 1630368 is 8630361.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 219024 = 1188^2 + 468^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1630361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44046 + ... + 44082.

2^1630368 is an apocalyptic number.

1630368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607066).

1630368 is an abundant number, since it is smaller than the sum of its proper divisors (3583764).

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

1630368 is a wasteful number, since it uses less digits than its factorization.

1630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1630368 is about 1276.8586452697. The cubic root of 1630368 is about 117.6960481466.

The spelling of 1630368 in words is "one million, six hundred thirty thousand, three hundred sixty-eight".