1034509968 has 100 divisors (see below), whose sum is σ = 3050868348. Its totient is φ = 338307840.

The previous prime is 1034509963. The next prime is 1034509969. The reversal of 1034509968 is 8699054301.

It is a happy number.

1034509968 is a `hidden beast` number, since 103 + 450 + 9 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 774397584 + 260112384 = 27828^2 + 16128^2 .

It is a super-2 number, since 2×1034509968² = 2140421747782722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1034509963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61158 + ... + 76218.

Almost surely, 2^1034509968 is an apocalyptic number.

1034509968 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 1034509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525434174).

1034509968 is an abundant number, since it is smaller than the sum of its proper divisors (2016358380).

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

1034509968 is a wasteful number, since it uses less digits than its factorization.

1034509968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1034509968 is about 32163.7990293435. The cubic root of 1034509968 is about 1011.3734762946.

The spelling of 1034509968 in words is "one billion, thirty-four million, five hundred nine thousand, nine hundred sixty-eight".