10742584 has 16 divisors (see below), whose sum is σ = 20427120. Its totient is φ = 5295360.

The previous prime is 10742539. The next prime is 10742597. The reversal of 10742584 is 48524701.

It is a super-2 number, since 2×10742584² = 230806221994112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8889 + ... + 10024.

It is an arithmetic number, because the mean of its divisors is an integer number (1276695).

Almost surely, 2^10742584 is an apocalyptic number.

It is an amenable number.

10742584 is a deficient number, since it is larger than the sum of its proper divisors (9684536).

10742584 is a wasteful number, since it uses less digits than its factorization.

10742584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990 (or 18986 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 10742584 is about 3277.5881376402. The cubic root of 10742584 is about 220.6494856554.

The spelling of 10742584 in words is "ten million, seven hundred forty-two thousand, five hundred eighty-four".