10546848 has 120 divisors (see below), whose sum is σ = 33510708. Its totient is φ = 3234816.

The previous prime is 10546819. The next prime is 10546849. The reversal of 10546848 is 84864501.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 2862864 = 2772^2 + 1692^2 .

It is a super-2 number, since 2×10546848² = 222472005470208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10546849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33540 + ... + 33852.

Almost surely, 2^10546848 is an apocalyptic number.

10546848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10546848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755354).

10546848 is an abundant number, since it is smaller than the sum of its proper divisors (22963860).

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

10546848 is a wasteful number, since it uses less digits than its factorization.

10546848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 10546848 is about 3247.5911072670. The cubic root of 10546848 is about 219.3011432287.

The spelling of 10546848 in words is "ten million, five hundred forty-six thousand, eight hundred forty-eight".