1003419680 has 24 divisors (see below), whose sum is σ = 2370579372. Its totient is φ = 401367808.

The previous prime is 1003419673. The next prime is 1003419707. The reversal of 1003419680 is 869143001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 832437904 + 170981776 = 28852^2 + 13076^2 .

It is a super-2 number, since 2×1003419680² = 2013702108422604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3135527 + ... + 3135846.

Almost surely, 2^1003419680 is an apocalyptic number.

1003419680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003419680 is an abundant number, since it is smaller than the sum of its proper divisors (1367159692).

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

1003419680 is an equidigital number, since it uses as much as digits as its factorization.

1003419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271388 (or 6271380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1003419680 is about 31676.8003434690. The cubic root of 1003419680 is about 1001.1385964395.

The spelling of 1003419680 in words is "one billion, three million, four hundred nineteen thousand, six hundred eighty".