1007648 has 12 divisors (see below), whose sum is σ = 1983870. Its totient is φ = 503808.

The previous prime is 1007647. The next prime is 1007651. The reversal of 1007648 is 8467001.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 183184 = 908^2 + 428^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1007647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15713 + ... + 15776.

2^1007648 is an apocalyptic number.

It is an amenable number.

1007648 is a deficient number, since it is larger than the sum of its proper divisors (976222).

1007648 is an equidigital number, since it uses as much as digits as its factorization.

1007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31499 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1007648 is about 1003.8167163382. The cubic root of 1007648 is about 100.2542861707.

The spelling of 1007648 in words is "one million, seven thousand, six hundred forty-eight".