10672584 has 64 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 3234816.

The previous prime is 10672579. The next prime is 10672589. The reversal of 10672584 is 48527601.

It is an interprime number because it is at equal distance from previous prime (10672579) and next prime (10672589).

It is a super-2 number, since 2×10672584² = 227808098474112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24432 + ... + 24864.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^10672584 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 10672584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

10672584 is an abundant number, since it is smaller than the sum of its proper divisors (18492216).

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

10672584 is a wasteful number, since it uses less digits than its factorization.

10672584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10672584 is about 3266.8921010649. The cubic root of 10672584 is about 220.1691811602.

The spelling of 10672584 in words is "ten million, six hundred seventy-two thousand, five hundred eighty-four".