10423584 has 72 divisors (see below), whose sum is σ = 31400460. Its totient is φ = 3268608.

The previous prime is 10423579. The next prime is 10423607. The reversal of 10423584 is 48532401.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 3600 = 3228^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10423584² = 217302206810112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3832 + ... + 5960.

Almost surely, 2^10423584 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 10423584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700230).

10423584 is an abundant number, since it is smaller than the sum of its proper divisors (20976876).

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

10423584 is a wasteful number, since it uses less digits than its factorization.

10423584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10423584 is about 3228.5575726631. The cubic root of 10423584 is about 218.4434482653.

Adding to 10423584 its reverse (48532401), we get a palindrome (58955985).

The spelling of 10423584 in words is "ten million, four hundred twenty-three thousand, five hundred eighty-four".