10494624 has 144 divisors (see below), whose sum is σ = 33784128. Its totient is φ = 2838528.

The previous prime is 10494619. The next prime is 10494641. The reversal of 10494624 is 42649401.

It is a super-2 number, since 2×10494624² = 220274265802752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10494591 and 10494600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108144 + ... + 108240.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

Almost surely, 2^10494624 is an apocalyptic number.

10494624 is a gapful number since it is divisible by the number (14) 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 10494624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892064).

10494624 is an abundant number, since it is smaller than the sum of its proper divisors (23289504).

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

10494624 is a wasteful number, since it uses less digits than its factorization.

10494624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 10494624 is about 3239.5407081869. The cubic root of 10494624 is about 218.9385787178.

The spelling of 10494624 in words is "ten million, four hundred ninety-four thousand, six hundred twenty-four".