10672761 has 16 divisors (see below), whose sum is σ = 15945408. Its totient is φ = 6292800.

The previous prime is 10672741. The next prime is 10672777. The reversal of 10672761 is 16727601.

It is a happy number.

It is not a de Polignac number, because 10672761 - 2⁷ = 10672633 is a prime.

It is a super-2 number, since 2×10672761² = 227815654726242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10672741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (996588).

Almost surely, 2^10672761 is an apocalyptic number.

10672761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10672761 is a deficient number, since it is larger than the sum of its proper divisors (5272647).

10672761 is a wasteful number, since it uses less digits than its factorization.

10672761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10672761 is about 3266.9191909198. The cubic root of 10672761 is about 220.1703982891.

It can be divided in two parts, 1067 and 2761, that added together give a triangular number (3828 = T₈₇).

The spelling of 10672761 in words is "ten million, six hundred seventy-two thousand, seven hundred sixty-one".