1003964220 has 216 divisors, whose sum is σ = 3617394144. Its totient is φ = 229267584.

The previous prime is 1003964209. The next prime is 1003964231. The reversal of 1003964220 is 224693001.

1003964220 is a `hidden beast` number, since 10 + 0 + 3 + 9 + 642 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1003964209) and next prime (1003964231).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917994 + ... + 919086.

Almost surely, 2^1003964220 is an apocalyptic number.

1003964220 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 1003964220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808697072).

1003964220 is an abundant number, since it is smaller than the sum of its proper divisors (2613429924).

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

1003964220 is an equidigital number, since it uses as much as digits as its factorization.

1003964220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

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

The square root of 1003964220 is about 31685.3944270858. The cubic root of 1003964220 is about 1001.3196643865.

The spelling of 1003964220 in words is "one billion, three million, nine hundred sixty-four thousand, two hundred twenty".