1035742968 has 48 divisors (see below), whose sum is σ = 3020919720. Its totient is φ = 318689856.

The previous prime is 1035742951. The next prime is 1035742999. The reversal of 1035742968 is 8692475301.

1035742968 is a `hidden beast` number, since 1 + 0 + 357 + 4 + 296 + 8 = 666.

1035742968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035742968³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

1035742968 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552346 + ... + 554217.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1035742968 = 2071485936, but 3⋅1035742968 = 3107228904 is not.

Almost surely, 2^1035742968 is an apocalyptic number.

1035742968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1035742968 is an abundant number, since it is smaller than the sum of its proper divisors (1985176752).

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

1035742968 is a wasteful number, since it uses less digits than its factorization.

1035742968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106588 (or 1106581 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1035742968 is about 32182.9608333354. The cubic root of 1035742968 is about 1011.7751248797.

The spelling of 1035742968 in words is "one billion, thirty-five million, seven hundred forty-two thousand, nine hundred sixty-eight".