10071648 has 48 divisors (see below), whose sum is σ = 29378160. Its totient is φ = 3356928.

The previous prime is 10071637. The next prime is 10071679. The reversal of 10071648 is 84617001.

It is a happy number.

10071648 is a `hidden beast` number, since 10 + 0 + 7 + 1 + 648 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4965 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (612045).

Almost surely, 2^10071648 is an apocalyptic number.

10071648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10071648 is an abundant number, since it is smaller than the sum of its proper divisors (19306512).

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

10071648 is a wasteful number, since it uses less digits than its factorization.

10071648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10071648 is about 3173.5859843401. The cubic root of 10071648 is about 215.9567814766.

Adding to 10071648 its reverse (84617001), we get a palindrome (94688649).

The spelling of 10071648 in words is "ten million, seventy-one thousand, six hundred forty-eight".