1008727968 has 48 divisors (see below), whose sum is σ = 2649810240. Its totient is φ = 336001536.

The previous prime is 1008727957. The next prime is 1008727991. The reversal of 1008727968 is 8697278001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1008727968² = 2035064226850818048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174468 + ... + 180156.

It is an arithmetic number, because the mean of its divisors is an integer number (55204380).

Almost surely, 2^1008727968 is an apocalyptic number.

It is an amenable number.

1008727968 is an abundant number, since it is smaller than the sum of its proper divisors (1641082272).

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

1008727968 is a wasteful number, since it uses less digits than its factorization.

1008727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 1008727968 is about 31760.4780820440. The cubic root of 1008727968 is about 1002.9008993126.

The spelling of 1008727968 in words is "one billion, eight million, seven hundred twenty-seven thousand, nine hundred sixty-eight".