1009475968 has 32 divisors (see below), whose sum is σ = 2019906000. Its totient is φ = 502519296.

The previous prime is 1009475959. The next prime is 1009475981. The reversal of 1009475968 is 8695749001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12093 + ... + 46531.

Almost surely, 2^1009475968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009953000).

1009475968 is an abundant number, since it is smaller than the sum of its proper divisors (1010430032).

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

1009475968 is an equidigital number, since it uses as much as digits as its factorization.

1009475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34682 (or 34670 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 1009475968 is about 31772.2515412427. The cubic root of 1009475968 is about 1003.1487310865.

The spelling of 1009475968 in words is "one billion, nine million, four hundred seventy-five thousand, nine hundred sixty-eight".