1034545968 has 90 divisors (see below), whose sum is σ = 2931417164. Its totient is φ = 340598016.

The previous prime is 1034545951. The next prime is 1034545979. The reversal of 1034545968 is 8695454301.

1034545968 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 54 + 596 + 8 = 666.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1140171 + ... + 1141077.

Almost surely, 2^1034545968 is an apocalyptic number.

1034545968 is a gapful number since it is divisible by the number (18) 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 1034545968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465708582).

1034545968 is an abundant number, since it is smaller than the sum of its proper divisors (1896871196).

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

1034545968 is an equidigital number, since it uses as much as digits as its factorization.

1034545968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1034545968 is about 32164.3586598583. The cubic root of 1034545968 is about 1011.3852077823.

The spelling of 1034545968 in words is "one billion, thirty-four million, five hundred forty-five thousand, nine hundred sixty-eight".