10540761 has 16 divisors (see below), whose sum is σ = 17522688. Its totient is φ = 5475600.

The previous prime is 10540757. The next prime is 10540769. The reversal of 10540761 is 16704501.

10540761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10540761 - 2² = 10540757 is a prime.

It is a super-2 number, since 2×10540761² = 222215284918242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22585 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (1095168).

Almost surely, 2^10540761 is an apocalyptic number.

10540761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10540761 is a deficient number, since it is larger than the sum of its proper divisors (6981927).

10540761 is a wasteful number, since it uses less digits than its factorization.

10540761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45652.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10540761 is about 3246.6538158541. The cubic root of 10540761 is about 219.2589460102.

The spelling of 10540761 in words is "ten million, five hundred forty thousand, seven hundred sixty-one".