10059648 has 128 divisors (see below), whose sum is σ = 29963520. Its totient is φ = 2973696.

The previous prime is 10059629. The next prime is 10059653. The reversal of 10059648 is 84695001.

10059648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×10059648³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 150111 + ... + 150177.

It is an arithmetic number, because the mean of its divisors is an integer number (234090).

Almost surely, 2^10059648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760).

10059648 is an abundant number, since it is smaller than the sum of its proper divisors (19903872).

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

10059648 is a wasteful number, since it uses less digits than its factorization.

10059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10059648 is about 3171.6948150792. The cubic root of 10059648 is about 215.8709791902.

The spelling of 10059648 in words is "ten million, fifty-nine thousand, six hundred forty-eight".