10537344 has 64 divisors (see below), whose sum is σ = 31110000. Its totient is φ = 3511296.

The previous prime is 10537339. The next prime is 10537367. The reversal of 10537344 is 44373501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10537344² = 222071237148672, which contains 22 as substring.

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1932 + ... + 4980.

Almost surely, 2^10537344 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 10537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555000).

10537344 is an abundant number, since it is smaller than the sum of its proper divisors (20572656).

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

10537344 is an equidigital number, since it uses as much as digits as its factorization.

10537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 10537344 is about 3246.1275390841. The cubic root of 10537344 is about 219.2352510484.

The spelling of 10537344 in words is "ten million, five hundred thirty-seven thousand, three hundred forty-four".