10406032 has 60 divisors (see below), whose sum is σ = 25282236. Its totient is φ = 4112640.

The previous prime is 10406029. The next prime is 10406047. The reversal of 10406032 is 23060401.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 6780816 = 1904^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10405997 and 10406015.

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, 9682 + ... + 10702.

Almost surely, 2^10406032 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 10406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641118).

10406032 is an abundant number, since it is smaller than the sum of its proper divisors (14876204).

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

10406032 is a wasteful number, since it uses less digits than its factorization.

10406032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10406032 is about 3225.8381856504. The cubic root of 10406032 is about 218.3207689809.

Adding to 10406032 its reverse (23060401), we get a palindrome (33466433).

The spelling of 10406032 in words is "ten million, four hundred six thousand, thirty-two".