1035420960 has 384 divisors, whose sum is σ = 4015872000. Its totient is φ = 223534080.

The previous prime is 1035420943. The next prime is 1035420983. The reversal of 1035420960 is 690245301.

1035420960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035420960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3127995 + ... + 3128325.

It is an arithmetic number, because the mean of its divisors is an integer number (10458000).

Almost surely, 2^1035420960 is an apocalyptic number.

1035420960 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 1035420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007936000).

1035420960 is an abundant number, since it is smaller than the sum of its proper divisors (2980451040).

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

1035420960 is a wasteful number, since it uses less digits than its factorization.

1035420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1035420960 is about 32177.9576729164. The cubic root of 1035420960 is about 1011.6702618447.

The spelling of 1035420960 in words is "one billion, thirty-five million, four hundred twenty thousand, nine hundred sixty".