10674560 has 64 divisors (see below), whose sum is σ = 27503280. Its totient is φ = 3938304.

The previous prime is 10674551. The next prime is 10674563. The reversal of 10674560 is 6547601.

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

It is a super-2 number, since 2×10674560² = 227892462387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7679 + ... + 8961.

Almost surely, 2^10674560 is an apocalyptic number.

10674560 is a gapful number since it is divisible by the number (10) 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 10674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751640).

10674560 is an abundant number, since it is smaller than the sum of its proper divisors (16828720).

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

10674560 is a wasteful number, since it uses less digits than its factorization.

10674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10674560 is about 3267.1945151766. The cubic root of 10674560 is about 220.1827682308.

The spelling of 10674560 in words is "ten million, six hundred seventy-four thousand, five hundred sixty".