1003648932 has 288 divisors, whose sum is σ = 3248394240. Its totient is φ = 256608000.

The previous prime is 1003648931. The next prime is 1003648949. The reversal of 1003648932 is 2398463001.

1003648932 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 648 + 9 + 3 + 2 = 666.

It is a super-2 number, since 2×1003648932² = 2014622357409481248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1003648931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3032007 + ... + 3032337.

Almost surely, 2^1003648932 is an apocalyptic number.

1003648932 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 1003648932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624197120).

1003648932 is an abundant number, since it is smaller than the sum of its proper divisors (2244745308).

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

1003648932 is a wasteful number, since it uses less digits than its factorization.

1003648932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1003648932 is about 31680.4187472325. The cubic root of 1003648932 is about 1001.2148342468.

The spelling of 1003648932 in words is "one billion, three million, six hundred forty-eight thousand, nine hundred thirty-two".