1008948864 has 128 divisors (see below), whose sum is σ = 3341422080. Its totient is φ = 262056960.

The previous prime is 1008948851. The next prime is 1008948917. The reversal of 1008948864 is 4688498001.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 12507 + ... + 46629.

It is an arithmetic number, because the mean of its divisors is an integer number (26104860).

Almost surely, 2^1008948864 is an apocalyptic number.

1008948864 is a gapful number since it is divisible by the number (14) 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 1008948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670711040).

1008948864 is an abundant number, since it is smaller than the sum of its proper divisors (2332473216).

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

1008948864 is a wasteful number, since it uses less digits than its factorization.

1008948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34158 (or 34146 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 1008948864 is about 31763.9554212003. The cubic root of 1008948864 is about 1002.9741006232.

The spelling of 1008948864 in words is "one billion, eight million, nine hundred forty-eight thousand, eight hundred sixty-four".