1003628640 has 384 divisors, whose sum is σ = 3870720000. Its totient is φ = 213497856.

The previous prime is 1003628629. The next prime is 1003628641. The reversal of 1003628640 is 468263001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1003628598 and 1003628607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003628641) 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 63 ways as a sum of consecutive naturals, for example, 5043261 + ... + 5043459.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2^1003628640 is an apocalyptic number.

1003628640 is a gapful number since it is divisible by the number (10) 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 1003628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360000).

1003628640 is an abundant number, since it is smaller than the sum of its proper divisors (2867091360).

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

1003628640 is a wasteful number, since it uses less digits than its factorization.

1003628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1003628640 is about 31680.0984846954. The cubic root of 1003628640 is about 1001.2080866057.

The spelling of 1003628640 in words is "one billion, three million, six hundred twenty-eight thousand, six hundred forty".