1008648 has 24 divisors (see below), whose sum is σ = 2731950. Its totient is φ = 336192.

The previous prime is 1008617. The next prime is 1008659. The reversal of 1008648 is 8468001.

1008648 is a `hidden beast` number, since 10 + 0 + 8 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 736164 + 272484 = 858^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1008648³ = 3078507031433381376, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6933 + ... + 7076.

2^1008648 is an apocalyptic number.

1008648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1008648 is an abundant number, since it is smaller than the sum of its proper divisors (1723302).

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

1008648 is a wasteful number, since it uses less digits than its factorization.

1008648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14021 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1008648 is about 1004.3146917177. The cubic root of 1008648 is about 100.2874396595.

The spelling of 1008648 in words is "one million, eight thousand, six hundred forty-eight".