1068992640 has 320 divisors, whose sum is σ = 4045460760. Its totient is φ = 268075008.

The previous prime is 1068992629. The next prime is 1068992651. The reversal of 1068992640 is 462998601.

It is a happy number.

1068992640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1068992629) and next prime (1068992651).

It can be written as a sum of positive squares in 4 ways, for example, as 721244736 + 347747904 = 26856^2 + 18648^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1068992640² = 2285490528748339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880674 + ... + 881886.

Almost surely, 2^1068992640 is an apocalyptic number.

1068992640 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 1068992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022730380).

1068992640 is an abundant number, since it is smaller than the sum of its proper divisors (2976468120).

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

1068992640 is a wasteful number, since it uses less digits than its factorization.

1068992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1068992640 is about 32695.4528948599. The cubic root of 1068992640 is about 1022.4880437305.

The spelling of 1068992640 in words is "one billion, sixty-eight million, nine hundred ninety-two thousand, six hundred forty".