1003696032 has 96 divisors (see below), whose sum is σ = 2737385280. Its totient is φ = 321628160.

The previous prime is 1003695977. The next prime is 1003696037. The reversal of 1003696032 is 2306963001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1003696032⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (1003696037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781663 + ... + 782945.

It is an arithmetic number, because the mean of its divisors is an integer number (28514430).

Almost surely, 2^1003696032 is an apocalyptic number.

1003696032 is a gapful number since it is divisible by the number (12) 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 1003696032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368692640).

1003696032 is an abundant number, since it is smaller than the sum of its proper divisors (1733689248).

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

1003696032 is a wasteful number, since it uses less digits than its factorization.

1003696032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1003696032 is about 31681.1620998978. The cubic root of 1003696032 is about 1001.2304959254.

The spelling of 1003696032 in words is "one billion, three million, six hundred ninety-six thousand, thirty-two".