1033482672 has 80 divisors (see below), whose sum is σ = 2973460480. Its totient is φ = 343683648.

The previous prime is 1033482647. The next prime is 1033482677. The reversal of 1033482672 is 2762843301.

It is a happy number.

1033482672 is a `hidden beast` number, since 103 + 3 + 482 + 6 + 72 = 666.

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 (1033482677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197433 + ... + 202599.

It is an arithmetic number, because the mean of its divisors is an integer number (37168256).

Almost surely, 2^1033482672 is an apocalyptic number.

1033482672 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 1033482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486730240).

1033482672 is an abundant number, since it is smaller than the sum of its proper divisors (1939977808).

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

1033482672 is a wasteful number, since it uses less digits than its factorization.

1033482672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1033482672 is about 32147.8253074761. The cubic root of 1033482672 is about 1011.0385918050.

The spelling of 1033482672 in words is "one billion, thirty-three million, four hundred eighty-two thousand, six hundred seventy-two".