1033045920 has 384 divisors, whose sum is σ = 3888622080. Its totient is φ = 255467520.

The previous prime is 1033045879. The next prime is 1033045921. The reversal of 1033045920 is 295403301.

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

It is not an unprimeable number, because it can be changed into a prime (1033045921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3676180 + ... + 3676460.

It is an arithmetic number, because the mean of its divisors is an integer number (10126620).

Almost surely, 2^1033045920 is an apocalyptic number.

1033045920 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 1033045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944311040).

1033045920 is an abundant number, since it is smaller than the sum of its proper divisors (2855576160).

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

1033045920 is a wasteful number, since it uses less digits than its factorization.

1033045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1033045920 is about 32141.0317195948. The cubic root of 1033045920 is about 1010.8961493764.

The spelling of 1033045920 in words is "one billion, thirty-three million, forty-five thousand, nine hundred twenty".