10542648 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 3301760.

The previous prime is 10542641. The next prime is 10542659. The reversal of 10542648 is 84624501.

It is a super-2 number, since 2×10542648² = 222294853703808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39058 + ... + 39326.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 2^10542648 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 10542648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

10542648 is an abundant number, since it is smaller than the sum of its proper divisors (17450952).

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

10542648 is a wasteful number, since it uses less digits than its factorization.

10542648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 10542648 is about 3246.9444097490. The cubic root of 10542648 is about 219.2720290930.

The spelling of 10542648 in words is "ten million, five hundred forty-two thousand, six hundred forty-eight".