10541664 has 180 divisors, whose sum is σ = 36498924. Its totient is φ = 2975616.

The previous prime is 10541651. The next prime is 10541689. The reversal of 10541664 is 46614501.

It is a super-2 number, since 2×10541664² = 222253359777792, which contains 22 as substring.

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126967 + ... + 127049.

Almost surely, 2^10541664 is an apocalyptic number.

10541664 is a gapful number since it is divisible by the number (14) 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 10541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249462).

10541664 is an abundant number, since it is smaller than the sum of its proper divisors (25957260).

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

10541664 is an equidigital number, since it uses as much as digits as its factorization.

10541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10541664 is about 3246.7928791347. The cubic root of 10541664 is about 219.2652069489.

The spelling of 10541664 in words is "ten million, five hundred forty-one thousand, six hundred sixty-four".