10677264 has 80 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3225600.

The previous prime is 10677263. The next prime is 10677269. The reversal of 10677264 is 46277601.

It is a super-2 number, since 2×10677264² = 228007933051392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10677263) 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, 44184 + ... + 44424.

Almost surely, 2^10677264 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 10677264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

10677264 is an abundant number, since it is smaller than the sum of its proper divisors (19570800).

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

10677264 is a wasteful number, since it uses less digits than its factorization.

10677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 10677264 is about 3267.6082996589. The cubic root of 10677264 is about 220.2013583472.

The spelling of 10677264 in words is "ten million, six hundred seventy-seven thousand, two hundred sixty-four".