1006965960 has 512 divisors, whose sum is σ = 4145541120. Its totient is φ = 188928000.

The previous prime is 1006965941. The next prime is 1006965977. The reversal of 1006965960 is 695696001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9969910 + ... + 9970010.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^1006965960 is an apocalyptic number.

1006965960 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 1006965960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

1006965960 is an abundant number, since it is smaller than the sum of its proper divisors (3138575160).

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

1006965960 is a wasteful number, since it uses less digits than its factorization.

1006965960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1006965960 is about 31732.7269549908. The cubic root of 1006965960 is about 1002.3166158136.

The spelling of 1006965960 in words is "one billion, six million, nine hundred sixty-five thousand, nine hundred sixty".