10741536 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 3110400.

The previous prime is 10741487. The next prime is 10741543. The reversal of 10741536 is 63514701.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71061 + ... + 71211.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^10741536 is an apocalyptic number.

10741536 is a gapful number since it is divisible by the number (16) 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 10741536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10741536 is an abundant number, since it is smaller than the sum of its proper divisors (24115104).

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

10741536 is a wasteful number, since it uses less digits than its factorization.

10741536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10741536 is about 3277.4282600844. The cubic root of 10741536 is about 220.6423102191.

The spelling of 10741536 in words is "ten million, seven hundred forty-one thousand, five hundred thirty-six".