1076664960 has 768 divisors, whose sum is σ = 4704860160. Its totient is φ = 229920768.

The previous prime is 1076664959. The next prime is 1076664971. The reversal of 1076664960 is 694666701.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25038699 + ... + 25038741.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^1076664960 is an apocalyptic number.

1076664960 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 1076664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352430080).

1076664960 is an abundant number, since it is smaller than the sum of its proper divisors (3628195200).

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

1076664960 is an equidigital number, since it uses as much as digits as its factorization.

1076664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1076664960 is about 32812.5731999184. The cubic root of 1076664960 is about 1024.9283979331.

The spelling of 1076664960 in words is "one billion, seventy-six million, six hundred sixty-four thousand, nine hundred sixty".